972084180 has 48 divisors (see below), whose sum is σ = 2723253120. Its totient is φ = 259087488.

The previous prime is 972084151. The next prime is 972084181. The reversal of 972084180 is 81480279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972084181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174681 + ... + 180159.

It is an arithmetic number, because the mean of its divisors is an integer number (56734440).

Almost surely, 2^972084180 is an apocalyptic number.

It is an amenable number.

972084180 is an abundant number, since it is smaller than the sum of its proper divisors (1751168940).

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

972084180 is a wasteful number, since it uses less digits than its factorization.

972084180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448 (or 8446 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 972084180 is about 31178.2645443905. The cubic root of 972084180 is about 990.6067701635.

The spelling of 972084180 in words is "nine hundred seventy-two million, eighty-four thousand, one hundred eighty".