386624 has 28 divisors (see below), whose sum is σ = 877824. Its totient is φ = 165504.

The previous prime is 386621. The next prime is 386629. The reversal of 386624 is 426683.

386624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (386621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 879.

2³⁸⁶⁶²⁴ 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 386624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438912).

386624 is an abundant number, since it is smaller than the sum of its proper divisors (491200).

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

386624 is an equidigital number, since it uses as much as digits as its factorization.

386624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 872 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 386624 is about 621.7909616583. The cubic root of 386624 is about 72.8500079060.

The spelling of 386624 in words is "three hundred eighty-six thousand, six hundred twenty-four".