388864 has 54 divisors (see below), whose sum is σ = 932064. Its totient is φ = 161280.

The previous prime is 388859. The next prime is 388879. The reversal of 388864 is 468883.

388864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

388864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12529 + ... + 12559.

2³⁸⁸⁸⁶⁴ 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 388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466032).

388864 is an abundant number, since it is smaller than the sum of its proper divisors (543200).

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

388864 is an equidigital number, since it uses as much as digits as its factorization.

388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 40 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 388864 is about 623.5896086370. The cubic root of 388864 is about 72.9904284692.

It can be divided in two parts, 3888 and 64, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 388864 in words is "three hundred eighty-eight thousand, eight hundred sixty-four".