633626968 has 48 divisors (see below), whose sum is σ = 1290984480. Its totient is φ = 291417984.

The previous prime is 633626909. The next prime is 633626969. The reversal of 633626968 is 869626336.

It is a super-3 number, since 3×633626968³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633626969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495546 + ... + 496822.

It is an arithmetic number, because the mean of its divisors is an integer number (26895510).

Almost surely, 2^633626968 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 633626968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645492240).

633626968 is an abundant number, since it is smaller than the sum of its proper divisors (657357512).

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

633626968 is a wasteful number, since it uses less digits than its factorization.

633626968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1659 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 49.

The square root of 633626968 is about 25171.9480374484. The cubic root of 633626968 is about 858.9038531410.

The spelling of 633626968 in words is "six hundred thirty-three million, six hundred twenty-six thousand, nine hundred sixty-eight".