85620888 has 80 divisors (see below), whose sum is σ = 243326160. Its totient is φ = 28123200.

The previous prime is 85620883. The next prime is 85620893. The reversal of 85620888 is 88802658.

85620888 is a `hidden beast` number, since 8 + 562 + 0 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (85620883) and next prime (85620893).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85620883) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45078 + ... + 46938.

It is an arithmetic number, because the mean of its divisors is an integer number (3041577).

Almost surely, 2^85620888 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 85620888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121663080).

85620888 is an abundant number, since it is smaller than the sum of its proper divisors (157705272).

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

85620888 is a wasteful number, since it uses less digits than its factorization.

85620888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 85620888 is about 9253.1555698583. The cubic root of 85620888 is about 440.7509353022.

The spelling of 85620888 in words is "eighty-five million, six hundred twenty thousand, eight hundred eighty-eight".