633297640 has 72 divisors (see below), whose sum is σ = 1498226310. Its totient is φ = 240904576.

The previous prime is 633297589. The next prime is 633297641. The reversal of 633297640 is 46792336.

It can be written as a sum of positive squares in 3 ways, for example, as 633126244 + 171396 = 25162^2 + 414^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 633297593 and 633297602.

It is not an unprimeable number, because it can be changed into a prime (633297641) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3660594 + ... + 3660766.

Almost surely, 2^633297640 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 633297640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749113155).

633297640 is an abundant number, since it is smaller than the sum of its proper divisors (864928670).

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

633297640 is a wasteful number, since it uses less digits than its factorization.

633297640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The square root of 633297640 is about 25165.4056196200. The cubic root of 633297640 is about 858.7550220872.

Multiplying 633297640 by its sum of digits (40), we get a square (25331905600 = 159160²).

633297640 divided by its sum of digits (40) gives a square (15832441 = 3979²).

The spelling of 633297640 in words is "six hundred thirty-three million, two hundred ninety-seven thousand, six hundred forty".