85979664 has 80 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 27667584.

The previous prime is 85979629. The next prime is 85979669. The reversal of 85979664 is 46697958.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 85979664.

It is not an unprimeable number, because it can be changed into a prime (85979669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9097 + ... + 15959.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2^85979664 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 85979664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

85979664 is an abundant number, since it is smaller than the sum of its proper divisors (169361136).

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

85979664 is a wasteful number, since it uses less digits than its factorization.

85979664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909 (or 6897 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 85979664 is about 9272.5219870324. The cubic root of 85979664 is about 441.3657015616.

The spelling of 85979664 in words is "eighty-five million, nine hundred seventy-nine thousand, six hundred sixty-four".