396688 has 10 divisors (see below), whose sum is σ = 768614. Its totient is φ = 198336.

The previous prime is 396679. The next prime is 396703. The reversal of 396688 is 886693.

It can be written as a sum of positive squares in only one way, i.e., 394384 + 2304 = 628^2 + 48^2 .

It is a super-2 number, since 2×396688² = 314722738688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 396688.

It is a congruent number.

It is an unprimeable number.

396688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12381 + ... + 12412.

2³⁹⁶⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

396688 is a deficient number, since it is larger than the sum of its proper divisors (371926).

396688 is a wasteful number, since it uses less digits than its factorization.

396688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24801 (or 24795 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 396688 is about 629.8317235580. The cubic root of 396688 is about 73.4767075683.

The spelling of 396688 in words is "three hundred ninety-six thousand, six hundred eighty-eight".