633840 has 80 divisors (see below), whose sum is σ = 2083200. Its totient is φ = 158976.

The previous prime is 633833. The next prime is 633877. The reversal of 633840 is 48336.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 633840.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 4491 + ... + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁶³³⁸⁴⁰ is an apocalyptic number.

633840 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 633840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041600).

633840 is an abundant number, since it is smaller than the sum of its proper divisors (1449360).

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

633840 is a wasteful number, since it uses less digits than its factorization.

633840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 633840 is about 796.1406910842. The cubic root of 633840 is about 85.9000099835.

The spelling of 633840 in words is "six hundred thirty-three thousand, eight hundred forty".