972180960 has 48 divisors (see below), whose sum is σ = 3062371536. Its totient is φ = 259248128.

The previous prime is 972180959. The next prime is 972180967. The reversal of 972180960 is 69081279.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972180967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012209 + ... + 1013168.

It is an arithmetic number, because the mean of its divisors is an integer number (63799407).

Almost surely, 2^972180960 is an apocalyptic number.

It is an amenable number.

972180960 is an abundant number, since it is smaller than the sum of its proper divisors (2090190576).

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

972180960 is a wasteful number, since it uses less digits than its factorization.

972180960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025395 (or 2025387 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 972180960 is about 31179.8165485302. The cubic root of 972180960 is about 990.6396437711.

The spelling of 972180960 in words is "nine hundred seventy-two million, one hundred eighty thousand, nine hundred sixty".