633879264 has 96 divisors (see below), whose sum is σ = 1783434240. Its totient is φ = 196618752.

The previous prime is 633879251. The next prime is 633879283. The reversal of 633879264 is 462978336.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77817 + ... + 85575.

It is an arithmetic number, because the mean of its divisors is an integer number (18577440).

Almost surely, 2^633879264 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 633879264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891717120).

633879264 is an abundant number, since it is smaller than the sum of its proper divisors (1149554976).

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

633879264 is a wasteful number, since it uses less digits than its factorization.

633879264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832 (or 7824 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 633879264 is about 25176.9589903149. The cubic root of 633879264 is about 859.0178367425.

The spelling of 633879264 in words is "six hundred thirty-three million, eight hundred seventy-nine thousand, two hundred sixty-four".