85113504 has 120 divisors (see below), whose sum is σ = 286136928. Its totient is φ = 24312960.

The previous prime is 85113493. The next prime is 85113527. The reversal of 85113504 is 40531158.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 15799 + ... + 20489.

Almost surely, 2^85113504 is an apocalyptic number.

85113504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85113504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143068464).

85113504 is an abundant number, since it is smaller than the sum of its proper divisors (201023424).

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

85113504 is a wasteful number, since it uses less digits than its factorization.

85113504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 85113504 is about 9225.6980223721. The cubic root of 85113504 is about 439.8785890912.

The spelling of 85113504 in words is "eighty-five million, one hundred thirteen thousand, five hundred four".