968642304 has 72 divisors (see below), whose sum is σ = 2946303360. Its totient is φ = 276753408.

The previous prime is 968642293. The next prime is 968642321. The reversal of 968642304 is 403246869.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84714 + ... + 95465.

It is an arithmetic number, because the mean of its divisors is an integer number (40920880).

Almost surely, 2^968642304 is an apocalyptic number.

It is an amenable number.

968642304 is an abundant number, since it is smaller than the sum of its proper divisors (1977661056).

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

968642304 is a wasteful number, since it uses less digits than its factorization.

968642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180205 (or 180191 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 968642304 is about 31123.0188767092. The cubic root of 968642304 is about 989.4362344725.

The spelling of 968642304 in words is "nine hundred sixty-eight million, six hundred forty-two thousand, three hundred four".