975361920 has 256 divisors, whose sum is σ = 3495744000. Its totient is φ = 229515264.

The previous prime is 975361889. The next prime is 975361993. The reversal of 975361920 is 29163579.

It is a congruent number.

It is an unprimeable number.

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, 573231 + ... + 574929.

It is an arithmetic number, because the mean of its divisors is an integer number (13655250).

Almost surely, 2^975361920 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 975361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747872000).

975361920 is an abundant number, since it is smaller than the sum of its proper divisors (2520382080).

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

975361920 is a wasteful number, since it uses less digits than its factorization.

975361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 975361920 is about 31230.7848124251. The cubic root of 975361920 is about 991.7189196705.

The spelling of 975361920 in words is "nine hundred seventy-five million, three hundred sixty-one thousand, nine hundred twenty".