8957160 has 96 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 2358144.

The previous prime is 8957153. The next prime is 8957167. The reversal of 8957160 is 617598.

8957160 is a `hidden beast` number, since 89 + 571 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8957153) and next prime (8957167).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8957167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49951 + ... + 50129.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 2^8957160 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 8957160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

8957160 is an abundant number, since it is smaller than the sum of its proper divisors (20526840).

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

8957160 is a wasteful number, since it uses less digits than its factorization.

8957160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 8957160 is about 2992.8514831177. The cubic root of 8957160 is about 207.6778172860.

The spelling of 8957160 in words is "eight million, nine hundred fifty-seven thousand, one hundred sixty".