86578320 has 80 divisors (see below), whose sum is σ = 271232640. Its totient is φ = 22843392.

The previous prime is 86578291. The next prime is 86578339. The reversal of 86578320 is 2387568.

It is a tau number, because it is divible by the number of its divisors (80).

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, 21421 + ... + 25139.

It is an arithmetic number, because the mean of its divisors is an integer number (3390408).

Almost surely, 2^86578320 is an apocalyptic number.

86578320 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 86578320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135616320).

86578320 is an abundant number, since it is smaller than the sum of its proper divisors (184654320).

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

86578320 is a wasteful number, since it uses less digits than its factorization.

86578320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 86578320 is about 9304.7471755013. The cubic root of 86578320 is about 442.3877081083.

The spelling of 86578320 in words is "eighty-six million, five hundred seventy-eight thousand, three hundred twenty".