633766980 has 144 divisors (see below), whose sum is σ = 2252045376. Its totient is φ = 131685120.

The previous prime is 633766963. The next prime is 633766997. The reversal of 633766980 is 89667336.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (633766963) and next prime (633766997).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22542 + ... + 42138.

It is an arithmetic number, because the mean of its divisors is an integer number (15639204).

Almost surely, 2^633766980 is an apocalyptic number.

633766980 is a gapful number since it is divisible by the number (60) 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 633766980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126022688).

633766980 is an abundant number, since it is smaller than the sum of its proper divisors (1618278396).

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

633766980 is a wasteful number, since it uses less digits than its factorization.

633766980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19634 (or 19625 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 633766980 is about 25174.7289955622. The cubic root of 633766980 is about 858.9671122276.

The spelling of 633766980 in words is "six hundred thirty-three million, seven hundred sixty-six thousand, nine hundred eighty".