633996 has 36 divisors (see below), whose sum is σ = 1749384. Its totient is φ = 192000.

The previous prime is 633991. The next prime is 634003. The reversal of 633996 is 699336.

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 self number, because there is not a number n which added to its sum of digits gives 633996.

It is not an unprimeable number, because it can be changed into a prime (633991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (48594).

2⁶³³⁹⁹⁶ is an apocalyptic number.

633996 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

633996 is an abundant number, since it is smaller than the sum of its proper divisors (1115388).

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

633996 is a wasteful number, since it uses less digits than its factorization.

633996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1617 counting only the distinct ones).

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

The square root of 633996 is about 796.2386576900. The cubic root of 633996 is about 85.9070566106.

The spelling of 633996 in words is "six hundred thirty-three thousand, nine hundred ninety-six".