972063180 has 504 divisors, whose sum is σ = 3663298800. Its totient is φ = 215550720.

The previous prime is 972063143. The next prime is 972063227. The reversal of 972063180 is 81360279.

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 167 ways as a sum of consecutive naturals, for example, 33519406 + ... + 33519434.

It is an arithmetic number, because the mean of its divisors is an integer number (7268450).

Almost surely, 2^972063180 is an apocalyptic number.

972063180 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 972063180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831649400).

972063180 is an abundant number, since it is smaller than the sum of its proper divisors (2691235620).

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

972063180 is a wasteful number, since it uses less digits than its factorization.

972063180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 972063180 is about 31177.9277694974. The cubic root of 972063180 is about 990.5996367305.

It can be divided in two parts, 9720 and 63180, that added together give a square (72900 = 270²).

The spelling of 972063180 in words is "nine hundred seventy-two million, sixty-three thousand, one hundred eighty".