975116160 has 384 divisors, whose sum is σ = 3584655360. Its totient is φ = 243855360.

The previous prime is 975116137. The next prime is 975116179. The reversal of 975116160 is 61611579.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7678017 + ... + 7678143.

It is an arithmetic number, because the mean of its divisors is an integer number (9335040).

Almost surely, 2^975116160 is an apocalyptic number.

975116160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792327680).

975116160 is an abundant number, since it is smaller than the sum of its proper divisors (2609539200).

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

975116160 is a wasteful number, since it uses less digits than its factorization.

975116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 975116160 is about 31226.8499852291. The cubic root of 975116160 is about 991.6356188602.

The spelling of 975116160 in words is "nine hundred seventy-five million, one hundred sixteen thousand, one hundred sixty".