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68632608 = 25311103631
BaseRepresentation
bin1000001011101…
…00000000100000
311210010220020110
410011310000200
5120032220413
610451011320
71462240032
oct405640040
9153126213
1068632608
1135817770
121ab99b40
13112b0315
149187c52
15605a8c3
hex4174020

68632608 has 96 divisors (see below), whose sum is σ = 198761472. Its totient is φ = 20563200.

The previous prime is 68632607. The next prime is 68632609. The reversal of 68632608 is 80623686.

It is an interprime number because it is at equal distance from previous prime (68632607) and next prime (68632609).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68632607) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108453 + ... + 109083.

It is an arithmetic number, because the mean of its divisors is an integer number (2070432).

Almost surely, 268632608 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 68632608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99380736).

68632608 is an abundant number, since it is smaller than the sum of its proper divisors (130128864).

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

68632608 is a wasteful number, since it uses less digits than its factorization.

68632608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 68632608 is about 8284.4799474680. The cubic root of 68632608 is about 409.4273345520.

The spelling of 68632608 in words is "sixty-eight million, six hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 176 206 264 309 352 412 528 618 631 824 1056 1133 1236 1262 1648 1893 2266 2472 2524 3296 3399 3786 4532 4944 5048 6798 6941 7572 9064 9888 10096 13596 13882 15144 18128 20192 20823 27192 27764 30288 36256 41646 54384 55528 60576 64993 83292 108768 111056 129986 166584 194979 222112 259972 333168 389958 519944 666336 714923 779916 1039888 1429846 1559832 2079776 2144769 2859692 3119664 4289538 5719384 6239328 8579076 11438768 17158152 22877536 34316304 68632608