975920 has 40 divisors (see below), whose sum is σ = 2477520. Its totient is φ = 354560.

The previous prime is 975907. The next prime is 975941. The reversal of 975920 is 29579.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 975920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (61938).

2⁹⁷⁵⁹²⁰ 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 975920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238760).

975920 is an abundant number, since it is smaller than the sum of its proper divisors (1501600).

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

975920 is a wasteful number, since it uses less digits than its factorization.

975920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 975920 is about 987.8866331720. The cubic root of 975920 is about 99.1908029975.

It can be divided in two parts, 9759 and 20, that added together give a palindrome (9779).

The spelling of 975920 in words is "nine hundred seventy-five thousand, nine hundred twenty".