631147440 has 640 divisors, whose sum is σ = 2699827200. Its totient is φ = 120422400.

The previous prime is 631147381. The next prime is 631147441. The reversal of 631147440 is 44741136.

631147440 is digitally balanced in base 2, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 631147398 and 631147407.

It is not an unprimeable number, because it can be changed into a prime (631147441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15393820 + ... + 15393860.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^631147440 is an apocalyptic number.

631147440 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 631147440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349913600).

631147440 is an abundant number, since it is smaller than the sum of its proper divisors (2068679760).

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

631147440 is a wasteful number, since it uses less digits than its factorization.

631147440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 631147440 is about 25122.6479496091. The cubic root of 631147440 is about 857.7820257952.

Adding to 631147440 its reverse (44741136), we get a palindrome (675888576).

The spelling of 631147440 in words is "six hundred thirty-one million, one hundred forty-seven thousand, four hundred forty".