85879392 has 96 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 26869248.

The previous prime is 85879357. The next prime is 85879429. The reversal of 85879392 is 29397858.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359209 + ... + 359447.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^85879392 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 85879392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

85879392 is an abundant number, since it is smaller than the sum of its proper divisors (153621408).

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

85879392 is a wasteful number, since it uses less digits than its factorization.

85879392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 85879392 is about 9267.1134664468. The cubic root of 85879392 is about 441.1940569533.

The spelling of 85879392 in words is "eighty-five million, eight hundred seventy-nine thousand, three hundred ninety-two".