85013904 has 120 divisors (see below), whose sum is σ = 241338720. Its totient is φ = 25712640.

The previous prime is 85013897. The next prime is 85013939. The reversal of 85013904 is 40931058.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876384 + ... + 876480.

It is an arithmetic number, because the mean of its divisors is an integer number (2011156).

Almost surely, 2^85013904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85013904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120669360).

85013904 is an abundant number, since it is smaller than the sum of its proper divisors (156324816).

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

85013904 is a wasteful number, since it uses less digits than its factorization.

85013904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 85013904 is about 9220.2984767306. The cubic root of 85013904 is about 439.7069398381.

The spelling of 85013904 in words is "eighty-five million, thirteen thousand, nine hundred four".