86633664 has 112 divisors (see below), whose sum is σ = 251338080. Its totient is φ = 26173440.

The previous prime is 86633633. The next prime is 86633671. The reversal of 86633664 is 46633668.

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

Its product of digits (373248) is a multiple of the sum of its prime divisors (648).

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, 151972 + ... + 152540.

It is an arithmetic number, because the mean of its divisors is an integer number (2244090).

Almost surely, 2^86633664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125669040).

86633664 is an abundant number, since it is smaller than the sum of its proper divisors (164704416).

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

86633664 is a wasteful number, since it uses less digits than its factorization.

86633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 86633664 is about 9307.7206661996. The cubic root of 86633664 is about 442.4819514487.

The spelling of 86633664 in words is "eighty-six million, six hundred thirty-three thousand, six hundred sixty-four".