87257160 has 96 divisors (see below), whose sum is σ = 285517440. Its totient is φ = 23110272.

The previous prime is 87257129. The next prime is 87257167. The reversal of 87257160 is 6175278.

87257160 is a `hidden beast` number, since 87 + 2 + 571 + 6 + 0 = 666.

It is a super-2 number, since 2×87257160² = 15227623942531200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (87257167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57937 + ... + 59423.

It is an arithmetic number, because the mean of its divisors is an integer number (2974140).

Almost surely, 2^87257160 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 87257160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142758720).

87257160 is an abundant number, since it is smaller than the sum of its proper divisors (198260280).

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

87257160 is a wasteful number, since it uses less digits than its factorization.

87257160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 87257160 is about 9341.1541042850. The cubic root of 87257160 is about 443.5409182319.

The spelling of 87257160 in words is "eighty-seven million, two hundred fifty-seven thousand, one hundred sixty".