86080368 has 60 divisors (see below), whose sum is σ = 244444424. Its totient is φ = 26083200.

The previous prime is 86080363. The next prime is 86080369. The reversal of 86080368 is 86308068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86080363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1603 + ... + 13218.

Almost surely, 2^86080368 is an apocalyptic number.

86080368 is a gapful number since it is divisible by the number (88) 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 86080368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122222212).

86080368 is an abundant number, since it is smaller than the sum of its proper divisors (158364056).

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

86080368 is a wasteful number, since it uses less digits than its factorization.

86080368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14854 (or 14837 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 86080368 is about 9277.9506357816. The cubic root of 86080368 is about 441.5379514007.

The spelling of 86080368 in words is "eighty-six million, eighty thousand, three hundred sixty-eight".