631272096 has 576 divisors, whose sum is σ = 2445327360. Its totient is φ = 156764160.

The previous prime is 631272079. The next prime is 631272097. The reversal of 631272096 is 690272136.

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

It is a self number, because there is not a number n which added to its sum of digits gives 631272096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631272097) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17061390 + ... + 17061426.

It is an arithmetic number, because the mean of its divisors is an integer number (4245360).

Almost surely, 2^631272096 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 631272096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222663680).

631272096 is an abundant number, since it is smaller than the sum of its proper divisors (1814055264).

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

631272096 is a wasteful number, since it uses less digits than its factorization.

631272096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 631272096 is about 25125.1287757894. The cubic root of 631272096 is about 857.8384947123.

The spelling of 631272096 in words is "six hundred thirty-one million, two hundred seventy-two thousand, ninety-six".