968632480 has 96 divisors (see below), whose sum is σ = 2390653440. Its totient is φ = 370406400.

The previous prime is 968632463. The next prime is 968632507. The reversal of 968632480 is 84236869.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 968632480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495505 + ... + 497455.

It is an arithmetic number, because the mean of its divisors is an integer number (24902640).

Almost surely, 2^968632480 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 968632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195326720).

968632480 is an abundant number, since it is smaller than the sum of its proper divisors (1422020960).

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

968632480 is a wasteful number, since it uses less digits than its factorization.

968632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 968632480 is about 31122.8610510024. The cubic root of 968632480 is about 989.4328894969.

The spelling of 968632480 in words is "nine hundred sixty-eight million, six hundred thirty-two thousand, four hundred eighty".