86577296 has 80 divisors (see below), whose sum is σ = 193320960. Its totient is φ = 37255680.

The previous prime is 86577289. The next prime is 86577317. The reversal of 86577296 is 69277568.

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, 186761 + ... + 187223.

It is an arithmetic number, because the mean of its divisors is an integer number (2416512).

Almost surely, 2^86577296 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 86577296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96660480).

86577296 is an abundant number, since it is smaller than the sum of its proper divisors (106743664).

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

86577296 is a wasteful number, since it uses less digits than its factorization.

86577296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 50.

The square root of 86577296 is about 9304.6921496630. The cubic root of 86577296 is about 442.3859639965.

The spelling of 86577296 in words is "eighty-six million, five hundred seventy-seven thousand, two hundred ninety-six".