972324864 has 256 divisors, whose sum is σ = 3313449600. Its totient is φ = 276037632.

The previous prime is 972324833. The next prime is 972324919. The reversal of 972324864 is 468423279.

It is a tau number, because it is divible by the number of its divisors (256).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 6193074 + ... + 6193230.

Almost surely, 2^972324864 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 972324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656724800).

972324864 is an abundant number, since it is smaller than the sum of its proper divisors (2341124736).

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

972324864 is an equidigital number, since it uses as much as digits as its factorization.

972324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 169 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 972324864 is about 31182.1241098165. The cubic root of 972324864 is about 990.6885201223.

The spelling of 972324864 in words is "nine hundred seventy-two million, three hundred twenty-four thousand, eight hundred sixty-four".