86083680 has 96 divisors (see below), whose sum is σ = 285465600. Its totient is φ = 21745152.

The previous prime is 86083667. The next prime is 86083691. The reversal of 86083680 is 8638068.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 4401 + ... + 13839.

It is an arithmetic number, because the mean of its divisors is an integer number (2973600).

Almost surely, 2^86083680 is an apocalyptic number.

86083680 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 86083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142732800).

86083680 is an abundant number, since it is smaller than the sum of its proper divisors (199381920).

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

86083680 is a wasteful number, since it uses less digits than its factorization.

86083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9476 (or 9468 counting only the distinct ones).

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

The square root of 86083680 is about 9278.1291217573. The cubic root of 86083680 is about 441.5436141512.

The spelling of 86083680 in words is "eighty-six million, eighty-three thousand, six hundred eighty".