85238568 has 96 divisors (see below), whose sum is σ = 241768800. Its totient is φ = 28133568.

The previous prime is 85238509. The next prime is 85238581. The reversal of 85238568 is 86583258.

It is a happy number.

85238568 is a `hidden beast` number, since 8 + 52 + 38 + 568 = 666.

It is a super-2 number, since 2×85238568² = 14531226949381248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316738 + ... + 317006.

It is an arithmetic number, because the mean of its divisors is an integer number (2518425).

Almost surely, 2^85238568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85238568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120884400).

85238568 is an abundant number, since it is smaller than the sum of its proper divisors (156530232).

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

85238568 is a wasteful number, since it uses less digits than its factorization.

85238568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 85238568 is about 9232.4735580450. The cubic root of 85238568 is about 440.0939331134.

The spelling of 85238568 in words is "eighty-five million, two hundred thirty-eight thousand, five hundred sixty-eight".