8157960 has 192 divisors, whose sum is σ = 29652480. Its totient is φ = 1935360.

The previous prime is 8157959. The next prime is 8157979. The reversal of 8157960 is 697518.

8157960 is a `hidden beast` number, since 81 + 579 + 6 + 0 = 666.

It is a super-2 number, since 2×8157960² = 133104622723200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189699 + ... + 189741.

It is an arithmetic number, because the mean of its divisors is an integer number (154440).

Almost surely, 2^8157960 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 8157960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826240).

8157960 is an abundant number, since it is smaller than the sum of its proper divisors (21494520).

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

8157960 is a wasteful number, since it uses less digits than its factorization.

8157960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

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

The square root of 8157960 is about 2856.2142776760. The cubic root of 8157960 is about 201.3077634686.

The spelling of 8157960 in words is "eight million, one hundred fifty-seven thousand, nine hundred sixty".