972334080 has 132 divisors (see below), whose sum is σ = 3369271932. Its totient is φ = 259276800.

The previous prime is 972334079. The next prime is 972334093. The reversal of 972334080 is 80433279.

It can be written as a sum of positive squares in 2 ways, for example, as 285474816 + 686859264 = 16896^2 + 26208^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35530 + ... + 56630.

Almost surely, 2^972334080 is an apocalyptic number.

972334080 is a gapful number since it is divisible by the number (90) 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 972334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684635966).

972334080 is an abundant number, since it is smaller than the sum of its proper divisors (2396937852).

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

972334080 is a wasteful number, since it uses less digits than its factorization.

972334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21132 (or 21111 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 972334080 is about 31182.2718864421. The cubic root of 972334080 is about 990.6916501312.

The spelling of 972334080 in words is "nine hundred seventy-two million, three hundred thirty-four thousand, eighty".