975632840 has 128 divisors (see below), whose sum is σ = 2727648000. Its totient is φ = 305814528.

The previous prime is 975632821. The next prime is 975632893. The reversal of 975632840 is 48236579.

It is a junction number, because it is equal to n+sod(n) for n = 975632791 and 975632800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395531 + ... + 397989.

It is an arithmetic number, because the mean of its divisors is an integer number (21309750).

Almost surely, 2^975632840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975632840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363824000).

975632840 is an abundant number, since it is smaller than the sum of its proper divisors (1752015160).

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

975632840 is a wasteful number, since it uses less digits than its factorization.

975632840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 975632840 is about 31235.1218982734. The cubic root of 975632840 is about 991.8107322965.

The spelling of 975632840 in words is "nine hundred seventy-five million, six hundred thirty-two thousand, eight hundred forty".