85085504 has 56 divisors (see below), whose sum is σ = 193974720. Its totient is φ = 36274176.

The previous prime is 85085503. The next prime is 85085521. The reversal of 85085504 is 40558058.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85085503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114767 + ... + 115505.

Almost surely, 2^85085504 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 85085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96987360).

85085504 is an abundant number, since it is smaller than the sum of its proper divisors (108889216).

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

85085504 is a wasteful number, since it uses less digits than its factorization.

85085504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 85085504 is about 9224.1803971952. The cubic root of 85085504 is about 439.8303478182.

The spelling of 85085504 in words is "eighty-five million, eighty-five thousand, five hundred four".