87860160 has 112 divisors (see below), whose sum is σ = 309981600. Its totient is φ = 23427072.

The previous prime is 87860141. The next prime is 87860173. The reversal of 87860160 is 6106878.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3556 + ... + 13724.

Almost surely, 2^87860160 is an apocalyptic number.

87860160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990800).

87860160 is an abundant number, since it is smaller than the sum of its proper divisors (222121440).

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

87860160 is a wasteful number, since it uses less digits than its factorization.

87860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10195 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 87860160 is about 9373.3750591769. The cubic root of 87860160 is about 444.5602861003.

The spelling of 87860160 in words is "eighty-seven million, eight hundred sixty thousand, one hundred sixty".