85905200 has 30 divisors (see below), whose sum is σ = 206388204. Its totient is φ = 34361920.

The previous prime is 85905191. The next prime is 85905217. The reversal of 85905200 is 250958.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106982 + ... + 107781.

Almost surely, 2^85905200 is an apocalyptic number.

85905200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85905200 is an abundant number, since it is smaller than the sum of its proper divisors (120483004).

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

85905200 is a wasteful number, since it uses less digits than its factorization.

85905200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214781 (or 214770 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 85905200 is about 9268.5058126971. The cubic root of 85905200 is about 441.2382475931.

The spelling of 85905200 in words is "eighty-five million, nine hundred five thousand, two hundred".