85979952 has 60 divisors (see below), whose sum is σ = 246510264. Its totient is φ = 27959040.

The previous prime is 85979947. The next prime is 85979981. The reversal of 85979952 is 25997958.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1378 + ... + 13185.

Almost surely, 2^85979952 is an apocalyptic number.

85979952 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85979952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123255132).

85979952 is an abundant number, since it is smaller than the sum of its proper divisors (160530312).

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

85979952 is a wasteful number, since it uses less digits than its factorization.

85979952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14618 (or 14609 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The square root of 85979952 is about 9272.5375167750. The cubic root of 85979952 is about 441.3661943649.

The spelling of 85979952 in words is "eighty-five million, nine hundred seventy-nine thousand, nine hundred fifty-two".