633980 has 12 divisors (see below), whose sum is σ = 1331400. Its totient is φ = 253584.

The previous prime is 633967. The next prime is 633991. The reversal of 633980 is 89336.

633980 = 278² + 279² + ... + 285².

It is a congruent number.

It is an unprimeable number.

633980 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 3 ways as a sum of consecutive naturals, for example, 15830 + ... + 15869.

It is an arithmetic number, because the mean of its divisors is an integer number (110950).

2⁶³³⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

633980 is an abundant number, since it is smaller than the sum of its proper divisors (697420).

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

633980 is a wasteful number, since it uses less digits than its factorization.

633980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31708 (or 31706 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 633980 is about 796.2286103877. The cubic root of 633980 is about 85.9063339328.

Subtracting from 633980 its reverse (89336), we obtain a square (544644 = 738²).

The spelling of 633980 in words is "six hundred thirty-three thousand, nine hundred eighty".