633083264 has 64 divisors (see below), whose sum is σ = 1456866000. Its totient is φ = 270827520.

The previous prime is 633083233. The next prime is 633083267. The reversal of 633083264 is 462380336.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633083267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10712 + ... + 37160.

Almost surely, 2^633083264 is an apocalyptic number.

633083264 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 633083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728433000).

633083264 is an abundant number, since it is smaller than the sum of its proper divisors (823782736).

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

633083264 is a wasteful number, since it uses less digits than its factorization.

633083264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26491 (or 26479 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The square root of 633083264 is about 25161.1459198503. The cubic root of 633083264 is about 858.6581128134.

The spelling of 633083264 in words is "six hundred thirty-three million, eighty-three thousand, two hundred sixty-four".