631265616 has 160 divisors (see below), whose sum is σ = 1874880000. Its totient is φ = 203254272.

The previous prime is 631265527. The next prime is 631265627. The reversal of 631265616 is 616562136.

631265616 is a `hidden beast` number, since 6 + 31 + 2 + 6 + 5 + 616 = 666.

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

Its product of digits (38880) is a multiple of the sum of its prime divisors (486).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1808610 + ... + 1808958.

It is an arithmetic number, because the mean of its divisors is an integer number (11718000).

Almost surely, 2^631265616 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 631265616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440000).

631265616 is an abundant number, since it is smaller than the sum of its proper divisors (1243614384).

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

631265616 is a wasteful number, since it uses less digits than its factorization.

631265616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 631265616 is about 25124.9998208955. Note that the first 3 decimals coincide. The cubic root of 631265616 is about 857.8355594685.

The spelling of 631265616 in words is "six hundred thirty-one million, two hundred sixty-five thousand, six hundred sixteen".