86621664 has 48 divisors (see below), whose sum is σ = 240761808. Its totient is φ = 27174912.

The previous prime is 86621659. The next prime is 86621671. The reversal of 86621664 is 46612668.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24907 + ... + 28170.

It is an arithmetic number, because the mean of its divisors is an integer number (5015871).

Almost surely, 2^86621664 is an apocalyptic number.

It is an amenable number.

86621664 is an abundant number, since it is smaller than the sum of its proper divisors (154140144).

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

86621664 is a wasteful number, since it uses less digits than its factorization.

86621664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53107 (or 53099 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 86621664 is about 9307.0760177405. The cubic root of 86621664 is about 442.4615204817.

The spelling of 86621664 in words is "eighty-six million, six hundred twenty-one thousand, six hundred sixty-four".