968978592 has 96 divisors (see below), whose sum is σ = 2949125760. Its totient is φ = 308943360.

The previous prime is 968978557. The next prime is 968978609. The reversal of 968978592 is 295879869.

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

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, 4509 + ... + 44252.

It is an arithmetic number, because the mean of its divisors is an integer number (30720060).

Almost surely, 2^968978592 is an apocalyptic number.

968978592 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968978592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474562880).

968978592 is an abundant number, since it is smaller than the sum of its proper divisors (1980147168).

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

968978592 is a wasteful number, since it uses less digits than its factorization.

968978592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48803 (or 48789 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The square root of 968978592 is about 31128.4209686261. The cubic root of 968978592 is about 989.5507235991.

The spelling of 968978592 in words is "nine hundred sixty-eight million, nine hundred seventy-eight thousand, five hundred ninety-two".