85285824 has 112 divisors (see below), whose sum is σ = 248521728. Its totient is φ = 25648128.

The previous prime is 85285819. The next prime is 85285829. The reversal of 85285824 is 42858258.

It is an interprime number because it is at equal distance from previous prime (85285819) and next prime (85285829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85285829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116949 + ... + 117675.

It is an arithmetic number, because the mean of its divisors is an integer number (2218944).

Almost surely, 2^85285824 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 85285824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124260864).

85285824 is an abundant number, since it is smaller than the sum of its proper divisors (163235904).

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

85285824 is a wasteful number, since it uses less digits than its factorization.

85285824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 792 counting only the distinct ones).

The product of its digits is 204800, while the sum is 42.

The square root of 85285824 is about 9235.0324309122. The cubic root of 85285824 is about 440.1752469963.

The spelling of 85285824 in words is "eighty-five million, two hundred eighty-five thousand, eight hundred twenty-four".