85606864 has 40 divisors (see below), whose sum is σ = 191862720. Its totient is φ = 36242688.

The previous prime is 85606847. The next prime is 85606867. The reversal of 85606864 is 46860658.

It is a self number, because there is not a number n which added to its sum of digits gives 85606864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85606867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4692 + ... + 13900.

It is an arithmetic number, because the mean of its divisors is an integer number (4796568).

Almost surely, 2^85606864 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 85606864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95931360).

85606864 is an abundant number, since it is smaller than the sum of its proper divisors (106255856).

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

85606864 is a wasteful number, since it uses less digits than its factorization.

85606864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9307 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 85606864 is about 9252.3977432880. The cubic root of 85606864 is about 440.7268701908.

The spelling of 85606864 in words is "eighty-five million, six hundred six thousand, eight hundred sixty-four".