85575204 has 120 divisors (see below), whose sum is σ = 262963008. Its totient is φ = 23924160.

The previous prime is 85575197. The next prime is 85575209. The reversal of 85575204 is 40257558.

It is a happy number.

85575204 is a `hidden beast` number, since 85 + 57 + 520 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85575209) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 45409 + ... + 47255.

Almost surely, 2^85575204 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 85575204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131481504).

85575204 is an abundant number, since it is smaller than the sum of its proper divisors (177387804).

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

85575204 is a wasteful number, since it uses less digits than its factorization.

85575204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 85575204 is about 9250.6866772148. The cubic root of 85575204 is about 440.6725321290.

The spelling of 85575204 in words is "eighty-five million, five hundred seventy-five thousand, two hundred four".