86621568 has 64 divisors (see below), whose sum is σ = 251017920. Its totient is φ = 26247680.

The previous prime is 86621567. The next prime is 86621569. The reversal of 86621568 is 86512668.

It is an interprime number because it is at equal distance from previous prime (86621567) and next prime (86621569).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86621567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6030 + ... + 14477.

It is an arithmetic number, because the mean of its divisors is an integer number (3922155).

Almost surely, 2^86621568 is an apocalyptic number.

86621568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86621568 is an abundant number, since it is smaller than the sum of its proper divisors (164396352).

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

86621568 is a wasteful number, since it uses less digits than its factorization.

86621568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20535 (or 20523 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 86621568 is about 9307.0708603728. The cubic root of 86621568 is about 442.4613570264.

Subtracting from 86621568 its reverse (86512668), we obtain a square (108900 = 330²).

The spelling of 86621568 in words is "eighty-six million, six hundred twenty-one thousand, five hundred sixty-eight".