631363920 has 320 divisors, whose sum is σ = 2309852160. Its totient is φ = 141004800.

The previous prime is 631363891. The next prime is 631363927. The reversal of 631363920 is 29363136.

631363920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631363927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056407 + ... + 2056713.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2^631363920 is an apocalyptic number.

631363920 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 631363920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154926080).

631363920 is an abundant number, since it is smaller than the sum of its proper divisors (1678488240).

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

631363920 is a wasteful number, since it uses less digits than its factorization.

631363920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 631363920 is about 25126.9560432616. The cubic root of 631363920 is about 857.8800860448.

The spelling of 631363920 in words is "six hundred thirty-one million, three hundred sixty-three thousand, nine hundred twenty".