633864 has 80 divisors (see below), whose sum is σ = 2016720. Its totient is φ = 164640.

The previous prime is 633833. The next prime is 633877. The reversal of 633864 is 468336.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10368) is a multiple of the sum of its prime factors (48).

It is an unprimeable number.

633864 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 19 ways as a sum of consecutive naturals, for example, 57619 + ... + 57629.

It is an arithmetic number, because the mean of its divisors is an integer number (25209).

2⁶³³⁸⁶⁴ 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 633864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008360).

633864 is an abundant number, since it is smaller than the sum of its proper divisors (1382856).

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

633864 is a wasteful number, since it uses less digits than its factorization.

633864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 23 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 633864 is about 796.1557636543. The cubic root of 633864 is about 85.9010941553.

The spelling of 633864 in words is "six hundred thirty-three thousand, eight hundred sixty-four".