631768900 has 144 divisors (see below), whose sum is σ = 1625451520. Its totient is φ = 208656000.

The previous prime is 631768897. The next prime is 631768919. The reversal of 631768900 is 9867136.

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, 4183825 + ... + 4183975.

Almost surely, 2^631768900 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 631768900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812725760).

631768900 is an abundant number, since it is smaller than the sum of its proper divisors (993682620).

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

631768900 is a wasteful number, since it uses less digits than its factorization.

631768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 631768900 is about 25135.0134274880. The cubic root of 631768900 is about 858.0634721022.

The spelling of 631768900 in words is "six hundred thirty-one million, seven hundred sixty-eight thousand, nine hundred".