633328641 has 36 divisors (see below), whose sum is σ = 1024598484. Its totient is φ = 376559040.

The previous prime is 633328627. The next prime is 633328673. The reversal of 633328641 is 146823336.

633328641 is a `hidden beast` number, since 6 + 3 + 3 + 3 + 2 + 8 + 641 = 666.

633328641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 407878416 + 225450225 = 20196^2 + 15015^2 .

It is not a de Polignac number, because 633328641 - 2⁵ = 633328609 is a prime.

It is a super-2 number, since 2×633328641² = 802210335021813762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 633328596 and 633328605.

It is not an unprimeable number, because it can be changed into a prime (633328601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52231 + ... + 63203.

It is an arithmetic number, because the mean of its divisors is an integer number (28461069).

Almost surely, 2^633328641 is an apocalyptic number.

It is an amenable number.

633328641 is a deficient number, since it is larger than the sum of its proper divisors (391269843).

633328641 is a wasteful number, since it uses less digits than its factorization.

633328641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11054 (or 11040 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 633328641 is about 25166.0215568532. The cubic root of 633328641 is about 858.7690343664.

The spelling of 633328641 in words is "six hundred thirty-three million, three hundred twenty-eight thousand, six hundred forty-one".