972995520 has 112 divisors (see below), whose sum is σ = 3530608128. Its totient is φ = 222397440.

The previous prime is 972995503. The next prime is 972995531. The reversal of 972995520 is 25599279.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 972995520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65676 + ... + 79115.

Almost surely, 2^972995520 is an apocalyptic number.

It is an amenable number.

972995520 is an abundant number, since it is smaller than the sum of its proper divisors (2557612608).

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

972995520 is a wasteful number, since it uses less digits than its factorization.

972995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144818 (or 144808 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The square root of 972995520 is about 31192.8761097787. The cubic root of 972995520 is about 990.9162418523.

The spelling of 972995520 in words is "nine hundred seventy-two million, nine hundred ninety-five thousand, five hundred twenty".