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67664896 = 2101321723
BaseRepresentation
bin1000000100001…
…11110000000000
311201022201210021
410002013300000
5114310234041
610414143224
71451066515
oct402076000
9151281707
1067664896
1135216702
121a7b1b14
1311031a00
148db530c
155e18cd1
hex4087c00

67664896 has 132 divisors (see below), whose sum is σ = 161827632. Its totient is φ = 28114944.

The previous prime is 67664881. The next prime is 67664939. The reversal of 67664896 is 69846676.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2941941 + ... + 2941963.

Almost surely, 267664896 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 67664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80913816).

67664896 is an abundant number, since it is smaller than the sum of its proper divisors (94162736).

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

67664896 is a wasteful number, since it uses less digits than its factorization.

67664896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The square root of 67664896 is about 8225.8674922466. The cubic root of 67664896 is about 407.4939259135.

The spelling of 67664896 in words is "sixty-seven million, six hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 64 68 92 104 128 136 169 184 208 221 256 272 299 338 368 391 416 442 512 544 598 676 736 782 832 884 1024 1088 1196 1352 1472 1564 1664 1768 2176 2392 2704 2873 2944 3128 3328 3536 3887 4352 4784 5083 5408 5746 5888 6256 6656 7072 7774 8704 9568 10166 10816 11492 11776 12512 13312 14144 15548 17408 19136 20332 21632 22984 23552 25024 28288 31096 38272 40664 43264 45968 50048 56576 62192 66079 76544 81328 86528 91936 100096 113152 124384 132158 153088 162656 173056 183872 200192 226304 248768 264316 306176 325312 367744 400384 497536 528632 650624 735488 995072 1057264 1301248 1470976 1990144 2114528 2602496 2941952 3980288 4229056 5204992 8458112 16916224 33832448 67664896