363996 has 18 divisors (see below), whose sum is σ = 920192. Its totient is φ = 121320.

The previous prime is 363989. The next prime is 364027. The reversal of 363996 is 699363.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10111 = 363996 / (3 + 6 + 3 + 9 + 9 + 6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 363996.

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 363996.

It is an unprimeable number.

363996 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5020 + ... + 5091.

2³⁶³⁹⁹⁶ is an apocalyptic number.

363996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

363996 is an abundant number, since it is smaller than the sum of its proper divisors (556196).

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

363996 is a wasteful number, since it uses less digits than its factorization.

363996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10121 (or 10116 counting only the distinct ones).

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

The square root of 363996 is about 603.3208101831. The cubic root of 363996 is about 71.4001082784.

The spelling of 363996 in words is "three hundred sixty-three thousand, nine hundred ninety-six".