633296972 has 72 divisors (see below), whose sum is σ = 1423759680. Its totient is φ = 243697440.

The previous prime is 633296959. The next prime is 633296977. The reversal of 633296972 is 279692336.

It is not an unprimeable number, because it can be changed into a prime (633296977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177179 + ... + 180717.

It is an arithmetic number, because the mean of its divisors is an integer number (19774440).

Almost surely, 2^633296972 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 633296972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711879840).

633296972 is an abundant number, since it is smaller than the sum of its proper divisors (790462708).

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

633296972 is a wasteful number, since it uses less digits than its factorization.

633296972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3642 counting only the distinct ones).

The product of its digits is 734832, while the sum is 47.

The square root of 633296972 is about 25165.3923474282. The cubic root of 633296972 is about 858.7547201499.

The spelling of 633296972 in words is "six hundred thirty-three million, two hundred ninety-six thousand, nine hundred seventy-two".