631973440 has 224 divisors, whose sum is σ = 1872691200. Its totient is φ = 198236160.

The previous prime is 631973437. The next prime is 631973443. The reversal of 631973440 is 44379136.

It is an interprime number because it is at equal distance from previous prime (631973437) and next prime (631973443).

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 631973440.

It is not an unprimeable number, because it can be changed into a prime (631973443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1319121 + ... + 1319599.

Almost surely, 2^631973440 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 631973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936345600).

631973440 is an abundant number, since it is smaller than the sum of its proper divisors (1240717760).

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

631973440 is a wasteful number, since it uses less digits than its factorization.

631973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 631973440 is about 25139.0819243663. The cubic root of 631973440 is about 858.1560636417.

The spelling of 631973440 in words is "six hundred thirty-one million, nine hundred seventy-three thousand, four hundred forty".