86624538 has 64 divisors (see below), whose sum is σ = 232630272. Its totient is φ = 20767680.

The previous prime is 86624519. The next prime is 86624579. The reversal of 86624538 is 83542668.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86624538.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206 + ... + 13217.

It is an arithmetic number, because the mean of its divisors is an integer number (3634848).

Almost surely, 2^86624538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86624538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116315136).

86624538 is an abundant number, since it is smaller than the sum of its proper divisors (146005734).

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

86624538 is a wasteful number, since it uses less digits than its factorization.

86624538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14459.

The product of its digits is 276480, while the sum is 42.

The square root of 86624538 is about 9307.2304151128. The cubic root of 86624538 is about 442.4664138701.

The spelling of 86624538 in words is "eighty-six million, six hundred twenty-four thousand, five hundred thirty-eight".