972915840 has 512 divisors, whose sum is σ = 3824755200. Its totient is φ = 232243200.

The previous prime is 972915829. The next prime is 972915857. The reversal of 972915840 is 48519279.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13703005 + ... + 13703075.

It is an arithmetic number, because the mean of its divisors is an integer number (7470225).

Almost surely, 2^972915840 is an apocalyptic number.

972915840 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 972915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912377600).

972915840 is an abundant number, since it is smaller than the sum of its proper divisors (2851839360).

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

972915840 is a wasteful number, since it uses less digits than its factorization.

972915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 972915840 is about 31191.5988689262. The cubic root of 972915840 is about 990.8891919294.

The spelling of 972915840 in words is "nine hundred seventy-two million, nine hundred fifteen thousand, eight hundred forty".