396756 has 36 divisors (see below), whose sum is σ = 1022112. Its totient is φ = 129744.

The previous prime is 396733. The next prime is 396833. The reversal of 396756 is 657693.

It is a happy number.

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 nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 396756.

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 396756.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3655 + ... + 3761.

It is an arithmetic number, because the mean of its divisors is an integer number (28392).

2³⁹⁶⁷⁵⁶ is an apocalyptic number.

396756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

396756 is an abundant number, since it is smaller than the sum of its proper divisors (625356).

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

396756 is a wasteful number, since it uses less digits than its factorization.

396756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 396756 is about 629.8857039178. The cubic root of 396756 is about 73.4809057717.

The spelling of 396756 in words is "three hundred ninety-six thousand, seven hundred fifty-six".