86057680 has 80 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 33384960.

The previous prime is 86057659. The next prime is 86057687. The reversal of 86057680 is 8675068.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86057687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619051 + ... + 619189.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^86057680 is an apocalyptic number.

86057680 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 86057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

86057680 is an abundant number, since it is smaller than the sum of its proper divisors (120179120).

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

86057680 is a wasteful number, since it uses less digits than its factorization.

86057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 86057680 is about 9276.7278713995. The cubic root of 86057680 is about 441.4991562859.

The spelling of 86057680 in words is "eighty-six million, fifty-seven thousand, six hundred eighty".