86643624 has 64 divisors (see below), whose sum is σ = 225561600. Its totient is φ = 27711936.

The previous prime is 86643593. The next prime is 86643653. The reversal of 86643624 is 42634668.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60177 + ... + 61599.

It is an arithmetic number, because the mean of its divisors is an integer number (3524400).

Almost surely, 2^86643624 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 86643624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112780800).

86643624 is an abundant number, since it is smaller than the sum of its proper divisors (138917976).

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

86643624 is a wasteful number, since it uses less digits than its factorization.

86643624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1530 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 86643624 is about 9308.2556905147. The cubic root of 86643624 is about 442.4989077186.

The spelling of 86643624 in words is "eighty-six million, six hundred forty-three thousand, six hundred twenty-four".