85879664 has 40 divisors (see below), whose sum is σ = 184050720. Its totient is φ = 38562048.

The previous prime is 85879637. The next prime is 85879667. The reversal of 85879664 is 46697858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85879667) 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, 2117 + ... + 13275.

It is an arithmetic number, because the mean of its divisors is an integer number (4601268).

Almost surely, 2^85879664 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 85879664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92025360).

85879664 is an abundant number, since it is smaller than the sum of its proper divisors (98171056).

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

85879664 is a wasteful number, since it uses less digits than its factorization.

85879664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11217 (or 11211 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 53.

The square root of 85879664 is about 9267.1281419866. The cubic root of 85879664 is about 441.1945227409.

The spelling of 85879664 in words is "eighty-five million, eight hundred seventy-nine thousand, six hundred sixty-four".