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68610672 = 24331319643
BaseRepresentation
bin1000001011011…
…10101001110000
311210002210011000
410011232221300
5120031020142
610450322000
71462116054
oct405565160
9153083130
1068610672
1135802239
121ab89300
13112a3340
14917dc64
15605414c
hex416ea70

68610672 has 160 divisors (see below), whose sum is σ = 223596800. Its totient is φ = 19968768.

The previous prime is 68610649. The next prime is 68610677. The reversal of 68610672 is 27601686.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68610677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106383 + ... + 107025.

It is an arithmetic number, because the mean of its divisors is an integer number (1397480).

Almost surely, 268610672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68610672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111798400).

68610672 is an abundant number, since it is smaller than the sum of its proper divisors (154986128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68610672 is a wasteful number, since it uses less digits than its factorization.

68610672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68610672 is about 8283.1559202999. The cubic root of 68610672 is about 409.3837102200.

The spelling of 68610672 in words is "sixty-eight million, six hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 643 684 702 741 912 936 988 1026 1286 1368 1404 1482 1872 1929 1976 2052 2223 2572 2736 2808 2964 3858 3952 4104 4446 5144 5616 5787 5928 6669 7716 8208 8359 8892 10288 11574 11856 12217 13338 15432 16718 17361 17784 23148 24434 25077 26676 30864 33436 34722 35568 36651 46296 48868 50154 53352 66872 69444 73302 75231 92592 97736 100308 106704 109953 133744 138888 146604 150462 158821 195472 200616 219906 225693 277776 293208 300924 317642 329859 401232 439812 451386 476463 586416 601848 635284 659718 879624 902772 952926 1203696 1270568 1319436 1429389 1759248 1805544 1905852 2541136 2638872 2858778 3611088 3811704 4288167 5277744 5717556 7623408 8576334 11435112 17152668 22870224 34305336 68610672