86563680 has 96 divisors (see below), whose sum is σ = 311641344. Its totient is φ = 19785216.

The previous prime is 86563667. The next prime is 86563699. The reversal of 86563680 is 8636568.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9522 + ... + 16241.

It is an arithmetic number, because the mean of its divisors is an integer number (3246264).

Almost surely, 2^86563680 is an apocalyptic number.

86563680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86563680 is an abundant number, since it is smaller than the sum of its proper divisors (225077664).

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

86563680 is a wasteful number, since it uses less digits than its factorization.

86563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25788 (or 25780 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 86563680 is about 9303.9604470354. The cubic root of 86563680 is about 442.3627714531.

The spelling of 86563680 in words is "eighty-six million, five hundred sixty-three thousand, six hundred eighty".