976216164 has 192 divisors, whose sum is σ = 2963423232. Its totient is φ = 242726400.

The previous prime is 976216159. The next prime is 976216217. The reversal of 976216164 is 461612679.

976216164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4955314 + ... + 4955510.

It is an arithmetic number, because the mean of its divisors is an integer number (15434496).

Almost surely, 2^976216164 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 976216164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481711616).

976216164 is an abundant number, since it is smaller than the sum of its proper divisors (1987207068).

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

976216164 is a wasteful number, since it uses less digits than its factorization.

976216164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 976216164 is about 31244.4581326033. The cubic root of 976216164 is about 992.0083584645.

The spelling of 976216164 in words is "nine hundred seventy-six million, two hundred sixteen thousand, one hundred sixty-four".