85604820 has 48 divisors (see below), whose sum is σ = 273936768. Its totient is φ = 19566720.

The previous prime is 85604807. The next prime is 85604867. The reversal of 85604820 is 2840658.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101491 + ... + 102330.

It is an arithmetic number, because the mean of its divisors is an integer number (5707016).

Almost surely, 2^85604820 is an apocalyptic number.

It is an amenable number.

85604820 is an abundant number, since it is smaller than the sum of its proper divisors (188331948).

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

85604820 is a wasteful number, since it uses less digits than its factorization.

85604820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203840 (or 203838 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 85604820 is about 9252.2872847745. The cubic root of 85604820 is about 440.7233624779.

The spelling of 85604820 in words is "eighty-five million, six hundred four thousand, eight hundred twenty".