86079360 has 128 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 22685696.

The previous prime is 86079359. The next prime is 86079373. The reversal of 86079360 is 6397068.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205231 + ... + 205649.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2^86079360 is an apocalyptic number.

86079360 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 86079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

86079360 is an abundant number, since it is smaller than the sum of its proper divisors (191523840).

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

86079360 is a wasteful number, since it uses less digits than its factorization.

86079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 86079360 is about 9277.8963132814. The cubic root of 86079360 is about 441.5362279261.

The spelling of 86079360 in words is "eighty-six million, seventy-nine thousand, three hundred sixty".