631396800 has 252 divisors, whose sum is σ = 2266294680. Its totient is φ = 166717440.

The previous prime is 631396793. The next prime is 631396807. The reversal of 631396800 is 8693136.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (631396793) and next prime (631396807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631396807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2347066 + ... + 2347334.

Almost surely, 2^631396800 is an apocalyptic number.

631396800 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 631396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133147340).

631396800 is an abundant number, since it is smaller than the sum of its proper divisors (1634897880).

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

631396800 is a wasteful number, since it uses less digits than its factorization.

631396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 631396800 is about 25127.6103121646. The cubic root of 631396800 is about 857.8949779356.

The spelling of 631396800 in words is "six hundred thirty-one million, three hundred ninety-six thousand, eight hundred".