87500160 has 192 divisors, whose sum is σ = 329855760. Its totient is φ = 21196800.

The previous prime is 87500159. The next prime is 87500183. The reversal of 87500160 is 6100578.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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, 62670 + ... + 64050.

Almost surely, 2^87500160 is an apocalyptic number.

87500160 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 87500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164927880).

87500160 is an abundant number, since it is smaller than the sum of its proper divisors (242355600).

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

87500160 is a wasteful number, since it uses less digits than its factorization.

87500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 87500160 is about 9354.1520192907. The cubic root of 87500160 is about 443.9522714705.

The spelling of 87500160 in words is "eighty-seven million, five hundred thousand, one hundred sixty".