633920 has 56 divisors (see below), whose sum is σ = 1731264. Its totient is φ = 216576.

The previous prime is 633883. The next prime is 633923. The reversal of 633920 is 29336.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (633923) by changing a digit.

633920 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2099 + ... + 2381.

2⁶³³⁹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865632).

633920 is an abundant number, since it is smaller than the sum of its proper divisors (1097344).

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

633920 is a wasteful number, since it uses less digits than its factorization.

633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 633920 is about 796.1909318750. The cubic root of 633920 is about 85.9036237829.

The spelling of 633920 in words is "six hundred thirty-three thousand, nine hundred twenty".