86096592 has 120 divisors (see below), whose sum is σ = 254615400. Its totient is φ = 27116544.

The previous prime is 86096573. The next prime is 86096603. The reversal of 86096592 is 29569068.

It can be written as a sum of positive squares in 4 ways, for example, as 11861136 + 74235456 = 3444^2 + 8616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221134 + ... + 221522.

It is an arithmetic number, because the mean of its divisors is an integer number (2121795).

Almost surely, 2^86096592 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 86096592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127307700).

86096592 is an abundant number, since it is smaller than the sum of its proper divisors (168518808).

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

86096592 is a wasteful number, since it uses less digits than its factorization.

86096592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 86096592 is about 9278.8249256035. The cubic root of 86096592 is about 441.5656892845.

The spelling of 86096592 in words is "eighty-six million, ninety-six thousand, five hundred ninety-two".