85204960 has 24 divisors (see below), whose sum is σ = 201297096. Its totient is φ = 34081920.

The previous prime is 85204891. The next prime is 85204963. The reversal of 85204960 is 6940258.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85204963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266106 + ... + 266425.

It is an arithmetic number, because the mean of its divisors is an integer number (8387379).

Almost surely, 2^85204960 is an apocalyptic number.

85204960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85204960 is an abundant number, since it is smaller than the sum of its proper divisors (116092136).

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

85204960 is a wasteful number, since it uses less digits than its factorization.

85204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532546 (or 532538 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 85204960 is about 9230.6532813231. The cubic root of 85204960 is about 440.0360851948.

The spelling of 85204960 in words is "eighty-five million, two hundred four thousand, nine hundred sixty".