382688 has 12 divisors (see below), whose sum is σ = 753480. Its totient is φ = 191328.

The previous prime is 382663. The next prime is 382693. The reversal of 382688 is 886283.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5948 + ... + 6011.

It is an arithmetic number, because the mean of its divisors is an integer number (62790).

2³⁸²⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

382688 is a deficient number, since it is larger than the sum of its proper divisors (370792).

382688 is a wasteful number, since it uses less digits than its factorization.

382688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11969 (or 11961 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 382688 is about 618.6178141632. The cubic root of 382688 is about 72.6019493187.

The spelling of 382688 in words is "three hundred eighty-two thousand, six hundred eighty-eight".