972132840 has 160 divisors (see below), whose sum is σ = 3734311680. Its totient is φ = 222196608.

The previous prime is 972132839. The next prime is 972132893. The reversal of 972132840 is 48231279.

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

It is a junction number, because it is equal to n+sod(n) for n = 972132795 and 972132804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1249 + ... + 44111.

It is an arithmetic number, because the mean of its divisors is an integer number (23339448).

Almost surely, 2^972132840 is an apocalyptic number.

972132840 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 972132840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867155840).

972132840 is an abundant number, since it is smaller than the sum of its proper divisors (2762178840).

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

972132840 is a wasteful number, since it uses less digits than its factorization.

972132840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42893 (or 42880 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 972132840 is about 31179.0448859486. The cubic root of 972132840 is about 990.6232989519.

The spelling of 972132840 in words is "nine hundred seventy-two million, one hundred thirty-two thousand, eight hundred forty".