85606920 has 288 divisors, whose sum is σ = 339318720. Its totient is φ = 18627840.

The previous prime is 85606909. The next prime is 85606949. The reversal of 85606920 is 2960658.

85606920 is a `hidden beast` number, since 8 + 560 + 6 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405615 + ... + 405825.

It is an arithmetic number, because the mean of its divisors is an integer number (1178190).

Almost surely, 2^85606920 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 85606920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169659360).

85606920 is an abundant number, since it is smaller than the sum of its proper divisors (253711800).

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

85606920 is a wasteful number, since it uses less digits than its factorization.

85606920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85606920 is about 9252.4007695300. The cubic root of 85606920 is about 440.7269662917.

The spelling of 85606920 in words is "eighty-five million, six hundred six thousand, nine hundred twenty".