975907920 has 160 divisors (see below), whose sum is σ = 3279290112. Its totient is φ = 238657536.

The previous prime is 975907903. The next prime is 975907927. The reversal of 975907920 is 29709579.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 975907920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975907927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520104 + ... + 521976.

Almost surely, 2^975907920 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 975907920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639645056).

975907920 is an abundant number, since it is smaller than the sum of its proper divisors (2303382192).

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

975907920 is a wasteful number, since it uses less digits than its factorization.

975907920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 48.

The square root of 975907920 is about 31239.5249643781. The cubic root of 975907920 is about 991.9039373246.

The spelling of 975907920 in words is "nine hundred seventy-five million, nine hundred seven thousand, nine hundred twenty".