964915968 has 72 divisors (see below), whose sum is σ = 2582798400. Its totient is φ = 319796224.

The previous prime is 964915943. The next prime is 964915981. The reversal of 964915968 is 869519469.

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, 133963 + ... + 140981.

It is an arithmetic number, because the mean of its divisors is an integer number (35872200).

Almost surely, 2^964915968 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 964915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291399200).

964915968 is an abundant number, since it is smaller than the sum of its proper divisors (1617882432).

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

964915968 is a wasteful number, since it uses less digits than its factorization.

964915968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7203 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 57.

The square root of 964915968 is about 31063.0965616759. The cubic root of 964915968 is about 988.1658274767.

The spelling of 964915968 in words is "nine hundred sixty-four million, nine hundred fifteen thousand, nine hundred sixty-eight".