975132416 has 72 divisors (see below), whose sum is σ = 1989711360. Its totient is φ = 476872704.

The previous prime is 975132413. The next prime is 975132419. The reversal of 975132416 is 614231579.

It is an interprime number because it is at equal distance from previous prime (975132413) and next prime (975132419).

It is a self number, because there is not a number n which added to its sum of digits gives 975132416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975132413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2893400 + ... + 2893736.

It is an arithmetic number, because the mean of its divisors is an integer number (27634880).

Almost surely, 2^975132416 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 975132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994855680).

975132416 is an abundant number, since it is smaller than the sum of its proper divisors (1014578944).

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

975132416 is a wasteful number, since it uses less digits than its factorization.

975132416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 555 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 975132416 is about 31227.1102729663. The cubic root of 975132416 is about 991.6411292940.

The spelling of 975132416 in words is "nine hundred seventy-five million, one hundred thirty-two thousand, four hundred sixteen".