977160 has 64 divisors (see below), whose sum is σ = 3110400. Its totient is φ = 244736.

The previous prime is 977149. The next prime is 977167. The reversal of 977160 is 61779.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977167) by changing a digit.

977160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1801 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2⁹⁷⁷¹⁶⁰ 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 977160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555200).

977160 is an abundant number, since it is smaller than the sum of its proper divisors (2133240).

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

977160 is a wasteful number, since it uses less digits than its factorization.

977160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 977160 is about 988.5140363192. The cubic root of 977160 is about 99.2327956948.

The spelling of 977160 in words is "nine hundred seventy-seven thousand, one hundred sixty".