386688 has 64 divisors (see below), whose sum is σ = 1101600. Its totient is φ = 119808.

The previous prime is 386677. The next prime is 386689. The reversal of 386688 is 886683.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (386689) by changing a digit.

386688 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 7 ways as a sum of consecutive naturals, for example, 7270 + ... + 7322.

2³⁸⁶⁶⁸⁸ is an apocalyptic number.

386688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800).

386688 is an abundant number, since it is smaller than the sum of its proper divisors (714912).

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

386688 is a wasteful number, since it uses less digits than its factorization.

386688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 386688 is about 621.8424237699. The cubic root of 386688 is about 72.8540274386.

The spelling of 386688 in words is "three hundred eighty-six thousand, six hundred eighty-eight".