975145920 has 336 divisors, whose sum is σ = 3680423424. Its totient is φ = 214272000.

The previous prime is 975145903. The next prime is 975145931. The reversal of 975145920 is 29541579.

975145920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6457845 + ... + 6457995.

Almost surely, 2^975145920 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 975145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840211712).

975145920 is an abundant number, since it is smaller than the sum of its proper divisors (2705277504).

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

975145920 is a wasteful number, since it uses less digits than its factorization.

975145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 975145920 is about 31227.3264945944. The cubic root of 975145920 is about 991.6457068124.

The spelling of 975145920 in words is "nine hundred seventy-five million, one hundred forty-five thousand, nine hundred twenty".