633984 has 64 divisors (see below), whose sum is σ = 1827840. Its totient is φ = 193536.

The previous prime is 633967. The next prime is 633991. The reversal of 633984 is 489336.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable 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, 4929 + ... + 5055.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

633984 is a Friedman number, since it can be written as 96*(43+3^8), using all its digits and the basic arithmetic operations.

2⁶³³⁹⁸⁴ is an apocalyptic number.

633984 is a gapful number since it is divisible by the number (64) 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 633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913920).

633984 is an abundant number, since it is smaller than the sum of its proper divisors (1193856).

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

633984 is a wasteful number, since it uses less digits than its factorization.

633984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 633984 is about 796.2311222252. The cubic root of 633984 is about 85.9065146034.

The spelling of 633984 in words is "six hundred thirty-three thousand, nine hundred eighty-four".