968857632 has 192 divisors, whose sum is σ = 2969809920. Its totient is φ = 306892800.

The previous prime is 968857627. The next prime is 968857651. The reversal of 968857632 is 236758869.

It is a happy number.

968857632 is a `hidden beast` number, since 9 + 68 + 8 + 576 + 3 + 2 = 666.

968857632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×968857632² = 1877370222169294848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1633528 + ... + 1634120.

It is an arithmetic number, because the mean of its divisors is an integer number (15467760).

Almost surely, 2^968857632 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 968857632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

968857632 is an abundant number, since it is smaller than the sum of its proper divisors (2000952288).

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

968857632 is a wasteful number, since it uses less digits than its factorization.

968857632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 690 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 968857632 is about 31126.4779890048. The cubic root of 968857632 is about 989.5095458622.

The spelling of 968857632 in words is "nine hundred sixty-eight million, eight hundred fifty-seven thousand, six hundred thirty-two".