977166960 has 640 divisors, whose sum is σ = 4182589440. Its totient is φ = 183997440.

The previous prime is 977166943. The next prime is 977166973. The reversal of 977166960 is 69661779.

977166960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42485509 + ... + 42485531.

It is an arithmetic number, because the mean of its divisors is an integer number (6535296).

Almost surely, 2^977166960 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 977166960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091294720).

977166960 is an abundant number, since it is smaller than the sum of its proper divisors (3205422480).

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

977166960 is a wasteful number, since it uses less digits than its factorization.

977166960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The square root of 977166960 is about 31259.6698638997. The cubic root of 977166960 is about 992.3303129548.

The spelling of 977166960 in words is "nine hundred seventy-seven million, one hundred sixty-six thousand, nine hundred sixty".