633120 has 48 divisors (see below), whose sum is σ = 1995840. Its totient is φ = 168704.

The previous prime is 633091. The next prime is 633133. The reversal of 633120 is 21336.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 633120.

It is an unprimeable number.

633120 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, 180 + ... + 1139.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2⁶³³¹²⁰ is an apocalyptic number.

633120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997920).

633120 is an abundant number, since it is smaller than the sum of its proper divisors (1362720).

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

633120 is a wasteful number, since it uses less digits than its factorization.

633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 633120 is about 795.6883812147. The cubic root of 633120 is about 85.8674720979.

Adding to 633120 its reverse (21336), we get a palindrome (654456).

The spelling of 633120 in words is "six hundred thirty-three thousand, one hundred twenty".