85827520 has 28 divisors (see below), whose sum is σ = 204377544. Its totient is φ = 34330880.

The previous prime is 85827493. The next prime is 85827551. The reversal of 85827520 is 2572858.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85827520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133786 + ... + 134425.

It is an arithmetic number, because the mean of its divisors is an integer number (7299198).

Almost surely, 2^85827520 is an apocalyptic number.

85827520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85827520 is an abundant number, since it is smaller than the sum of its proper divisors (118550024).

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

85827520 is a wasteful number, since it uses less digits than its factorization.

85827520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268228 (or 268218 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 85827520 is about 9264.3143297278. The cubic root of 85827520 is about 441.1052105419.

The spelling of 85827520 in words is "eighty-five million, eight hundred twenty-seven thousand, five hundred twenty".