86392320 has 160 divisors (see below), whose sum is σ = 315836928. Its totient is φ = 19734528.

The previous prime is 86392307. The next prime is 86392331. The reversal of 86392320 is 2329368.

It is a tau number, because it is divible by the number of its divisors (160).

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, 52957 + ... + 54563.

Almost surely, 2^86392320 is an apocalyptic number.

86392320 is a gapful number since it is divisible by the number (80) 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 86392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157918464).

86392320 is an abundant number, since it is smaller than the sum of its proper divisors (229444608).

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

86392320 is a wasteful number, since it uses less digits than its factorization.

86392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 86392320 is about 9294.7469034934. The cubic root of 86392320 is about 442.0706806701.

The spelling of 86392320 in words is "eighty-six million, three hundred ninety-two thousand, three hundred twenty".