85810304 has 32 divisors (see below), whose sum is σ = 176852700. Its totient is φ = 41423872.

The previous prime is 85810303. The next prime is 85810331. The reversal of 85810304 is 40301858.

It can be written as a sum of positive squares in 2 ways, for example, as 74787904 + 11022400 = 8648^2 + 3320^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (85810303) 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 3 ways as a sum of consecutive naturals, for example, 7847 + ... + 15270.

Almost surely, 2^85810304 is an apocalyptic number.

It is an amenable number.

85810304 is an abundant number, since it is smaller than the sum of its proper divisors (91042396).

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

85810304 is a wasteful number, since it uses less digits than its factorization.

85810304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23160 (or 23148 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 85810304 is about 9263.3851263995. The cubic root of 85810304 is about 441.0757150486.

The spelling of 85810304 in words is "eighty-five million, eight hundred ten thousand, three hundred four".