85382560 has 24 divisors (see below), whose sum is σ = 201716676. Its totient is φ = 34152960.

The previous prime is 85382537. The next prime is 85382567. The reversal of 85382560 is 6528358.

It can be written as a sum of positive squares in 2 ways, for example, as 85155984 + 226576 = 9228^2 + 476^2 .

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 not an unprimeable number, because it can be changed into a prime (85382567) 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, 266661 + ... + 266980.

Almost surely, 2^85382560 is an apocalyptic number.

85382560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85382560 is an abundant number, since it is smaller than the sum of its proper divisors (116334116).

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

85382560 is a wasteful number, since it uses less digits than its factorization.

85382560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533656 (or 533648 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 85382560 is about 9240.2683943704. The cubic root of 85382560 is about 440.3416079914.

The spelling of 85382560 in words is "eighty-five million, three hundred eighty-two thousand, five hundred sixty".