968485632 has 144 divisors (see below), whose sum is σ = 2802078720. Its totient is φ = 295833600.

The previous prime is 968485607. The next prime is 968485643. The reversal of 968485632 is 236584869.

968485632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451282 + ... + 453422.

It is an arithmetic number, because the mean of its divisors is an integer number (19458880).

Almost surely, 2^968485632 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 968485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401039360).

968485632 is an abundant number, since it is smaller than the sum of its proper divisors (1833593088).

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

968485632 is a wasteful number, since it uses less digits than its factorization.

968485632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2196 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 968485632 is about 31120.5017954403. The cubic root of 968485632 is about 989.3828864989.

The spelling of 968485632 in words is "nine hundred sixty-eight million, four hundred eighty-five thousand, six hundred thirty-two".