975080988 has 216 divisors, whose sum is σ = 3087302400. Its totient is φ = 257898816.

The previous prime is 975080971. The next prime is 975080989. The reversal of 975080988 is 889080579.

975080988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×975080988² = 1901565866318112288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975080989) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1574943 + ... + 1575561.

Almost surely, 2^975080988 is an apocalyptic number.

975080988 is a gapful number since it is divisible by the number (98) 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 975080988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543651200).

975080988 is an abundant number, since it is smaller than the sum of its proper divisors (2112221412).

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

975080988 is a wasteful number, since it uses less digits than its factorization.

975080988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 975080988 is about 31226.2868109546. The cubic root of 975080988 is about 991.6236961004.

The spelling of 975080988 in words is "nine hundred seventy-five million, eighty thousand, nine hundred eighty-eight".