631006416 has 160 divisors (see below), whose sum is σ = 1940352000. Its totient is φ = 195737472.

The previous prime is 631006373. The next prime is 631006423. The reversal of 631006416 is 614600136.

631006416 is a `hidden beast` number, since 6 + 3 + 10 + 0 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 631006416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483621 + ... + 484923.

It is an arithmetic number, because the mean of its divisors is an integer number (12127200).

Almost surely, 2^631006416 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 631006416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970176000).

631006416 is an abundant number, since it is smaller than the sum of its proper divisors (1309345584).

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

631006416 is a wasteful number, since it uses less digits than its factorization.

631006416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 631006416 is about 25119.8410822999. The cubic root of 631006416 is about 857.7181332425.

The spelling of 631006416 in words is "six hundred thirty-one million, six thousand, four hundred sixteen".