631278040 has 64 divisors (see below), whose sum is σ = 1516320000. Its totient is φ = 235831680.

The previous prime is 631278031. The next prime is 631278041. The reversal of 631278040 is 40872136.

631278040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 631277993 and 631278011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631278041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48111 + ... + 59809.

It is an arithmetic number, because the mean of its divisors is an integer number (23692500).

Almost surely, 2^631278040 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 631278040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758160000).

631278040 is an abundant number, since it is smaller than the sum of its proper divisors (885041960).

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

631278040 is a wasteful number, since it uses less digits than its factorization.

631278040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11800 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 631278040 is about 25125.2470634619. The cubic root of 631278040 is about 857.8411871466.

The spelling of 631278040 in words is "six hundred thirty-one million, two hundred seventy-eight thousand, forty".