87606160 has 40 divisors (see below), whose sum is σ = 204524856. Its totient is φ = 34897920.

The previous prime is 87606139. The next prime is 87606163. The reversal of 87606160 is 6160678.

It can be written as a sum of positive squares in 4 ways, for example, as 58186384 + 29419776 = 7628^2 + 5424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (87606163) 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 7 ways as a sum of consecutive naturals, for example, 18430 + ... + 22690.

Almost surely, 2^87606160 is an apocalyptic number.

87606160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87606160 is an abundant number, since it is smaller than the sum of its proper divisors (116918696).

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

87606160 is a wasteful number, since it uses less digits than its factorization.

87606160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 87606160 is about 9359.8162375124. The cubic root of 87606160 is about 444.1314709551.

The spelling of 87606160 in words is "eighty-seven million, six hundred six thousand, one hundred sixty".