85115904 has 88 divisors (see below), whose sum is σ = 229919040. Its totient is φ = 27992064.

The previous prime is 85115897. The next prime is 85115911. The reversal of 85115904 is 40951158.

It is an interprime number because it is at equal distance from previous prime (85115897) and next prime (85115911).

It is a super-2 number, since 2×85115904² = 14489434227474432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316282 + ... + 316550.

Almost surely, 2^85115904 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 85115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114959520).

85115904 is an abundant number, since it is smaller than the sum of its proper divisors (144803136).

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

85115904 is a wasteful number, since it uses less digits than its factorization.

85115904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 85115904 is about 9225.8280929139. The cubic root of 85115904 is about 439.8827235652.

The spelling of 85115904 in words is "eighty-five million, one hundred fifteen thousand, nine hundred four".