393664 has 14 divisors (see below), whose sum is σ = 781304. Its totient is φ = 196800.

The previous prime is 393649. The next prime is 393667. The reversal of 393664 is 466393.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3012 + ... + 3139.

2³⁹³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

393664 is a deficient number, since it is larger than the sum of its proper divisors (387640).

393664 is an equidigital number, since it uses as much as digits as its factorization.

393664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163 (or 6153 counting only the distinct ones).

The product of its digits is 11664, while the sum is 31.

The square root of 393664 is about 627.4264897181. The cubic root of 393664 is about 73.2895238793.

It can be divided in two parts, 39366 and 4, that multiplied together give a cube (157464 = 54³).

The spelling of 393664 in words is "three hundred ninety-three thousand, six hundred sixty-four".