631688400 has 270 divisors, whose sum is σ = 2550745782. Its totient is φ = 144345600.

The previous prime is 631688381. The next prime is 631688429. The reversal of 631688400 is 4886136.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 132434064 + 499254336 = 11508^2 + 22344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 174610 + ... + 178190.

Almost surely, 2^631688400 is an apocalyptic number.

631688400 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 631688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275372891).

631688400 is an abundant number, since it is smaller than the sum of its proper divisors (1919057382).

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

631688400 is a wasteful number, since it uses less digits than its factorization.

631688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 631688400 is about 25133.4120246337. The cubic root of 631688400 is about 858.0270257352.

The spelling of 631688400 in words is "six hundred thirty-one million, six hundred eighty-eight thousand, four hundred".