85220568 has 48 divisors (see below), whose sum is σ = 233110800. Its totient is φ = 28123200.

The previous prime is 85220561. The next prime is 85220573. The reversal of 85220568 is 86502258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85220561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413 + ... + 13131.

It is an arithmetic number, because the mean of its divisors is an integer number (4856475).

Almost surely, 2^85220568 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 85220568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116555400).

85220568 is an abundant number, since it is smaller than the sum of its proper divisors (147890232).

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

85220568 is a wasteful number, since it uses less digits than its factorization.

85220568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11832 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85220568 is about 9231.4986865622. The cubic root of 85220568 is about 440.0629524252.

The spelling of 85220568 in words is "eighty-five million, two hundred twenty thousand, five hundred sixty-eight".