86329320 has 128 divisors (see below), whose sum is σ = 322928640. Its totient is φ = 17936640.

The previous prime is 86329319. The next prime is 86329339. The reversal of 86329320 is 2392368.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4569 + ... + 13911.

It is an arithmetic number, because the mean of its divisors is an integer number (2522880).

Almost surely, 2^86329320 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 86329320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161464320).

86329320 is an abundant number, since it is smaller than the sum of its proper divisors (236599320).

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

86329320 is a wasteful number, since it uses less digits than its factorization.

86329320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9375 (or 9371 counting only the distinct ones).

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

The square root of 86329320 is about 9291.3572743706. The cubic root of 86329320 is about 441.9631972524.

The spelling of 86329320 in words is "eighty-six million, three hundred twenty-nine thousand, three hundred twenty".