85606160 has 40 divisors (see below), whose sum is σ = 204420696. Its totient is φ = 33315840.

The previous prime is 85606141. The next prime is 85606177. The reversal of 85606160 is 6160658.

It can be written as a sum of positive squares in 4 ways, for example, as 33362176 + 52243984 = 5776^2 + 7228^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11501 + ... + 17420.

Almost surely, 2^85606160 is an apocalyptic number.

85606160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85606160 is an abundant number, since it is smaller than the sum of its proper divisors (118814536).

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

85606160 is a wasteful number, since it uses less digits than its factorization.

85606160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28971 (or 28965 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 85606160 is about 9252.3596990173. The cubic root of 85606160 is about 440.7256620611.

The spelling of 85606160 in words is "eighty-five million, six hundred six thousand, one hundred sixty".