393696 has 36 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 131136.

The previous prime is 393683. The next prime is 393697. The reversal of 393696 is 696393.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 393696.

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 393696.

It is not an unprimeable number, because it can be changed into a prime (393697) by changing a digit.

393696 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 5 ways as a sum of consecutive naturals, for example, 396 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2³⁹³⁶⁹⁶ is an apocalyptic number.

393696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

393696 is an abundant number, since it is smaller than the sum of its proper divisors (726696).

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

393696 is a wasteful number, since it uses less digits than its factorization.

393696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1372 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 393696 is about 627.4519901953. The cubic root of 393696 is about 73.2915096685.

It can be divided in two parts, 393 and 696, that added together give a square (1089 = 33²).

The spelling of 393696 in words is "three hundred ninety-three thousand, six hundred ninety-six".