85581604 has 24 divisors (see below), whose sum is σ = 159423768. Its totient is φ = 40058880.

The previous prime is 85581589. The next prime is 85581619. The reversal of 85581604 is 40618558.

It is an interprime number because it is at equal distance from previous prime (85581589) and next prime (85581619).

It can be written as a sum of positive squares in 4 ways, for example, as 32262400 + 53319204 = 5680^2 + 7302^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 9864 + ... + 16384.

It is an arithmetic number, because the mean of its divisors is an integer number (6642657).

Almost surely, 2^85581604 is an apocalyptic number.

It is an amenable number.

85581604 is a deficient number, since it is larger than the sum of its proper divisors (73842164).

85581604 is a wasteful number, since it uses less digits than its factorization.

85581604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 85581604 is about 9251.0325910138. The cubic root of 85581604 is about 440.6835175304.

The spelling of 85581604 in words is "eighty-five million, five hundred eighty-one thousand, six hundred four".