388688 has 20 divisors (see below), whose sum is σ = 797940. Its totient is φ = 182784.

The previous prime is 388673. The next prime is 388691. The reversal of 388688 is 886883.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 238144 = 388^2 + 488^2 .

It is a super-2 number, since 2×388688² = 302156722688, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 388688.

It is an unprimeable number.

388688 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 3 ways as a sum of consecutive naturals, for example, 443 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (39897).

2³⁸⁸⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

388688 is an abundant number, since it is smaller than the sum of its proper divisors (409252).

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

388688 is a wasteful number, since it uses less digits than its factorization.

388688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1448 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The square root of 388688 is about 623.4484742142. The cubic root of 388688 is about 72.9794149752.

The spelling of 388688 in words is "three hundred eighty-eight thousand, six hundred eighty-eight".