976982160 has 320 divisors, whose sum is σ = 3908321280. Its totient is φ = 195901440.

The previous prime is 976982137. The next prime is 976982173. The reversal of 976982160 is 61289679.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 535009 + ... + 536831.

It is an arithmetic number, because the mean of its divisors is an integer number (12213504).

Almost surely, 2^976982160 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 976982160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954160640).

976982160 is an abundant number, since it is smaller than the sum of its proper divisors (2931339120).

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

976982160 is a wasteful number, since it uses less digits than its factorization.

976982160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 976982160 is about 31256.7138387899. The cubic root of 976982160 is about 992.2677531225.

The spelling of 976982160 in words is "nine hundred seventy-six million, nine hundred eighty-two thousand, one hundred sixty".