1631631872 has 160 divisors (see below), whose sum is σ = 3712262400. Its totient is φ = 711180288.

The previous prime is 1631631857. The next prime is 1631631877. The reversal of 1631631872 is 2781361361.

It is not an unprimeable number, because it can be changed into a prime (1631631877) 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, 15248843 + ... + 15248949.

It is an arithmetic number, because the mean of its divisors is an integer number (23201640).

Almost surely, 2^1631631872 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 1631631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856131200).

1631631872 is an abundant number, since it is smaller than the sum of its proper divisors (2080630528).

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

1631631872 is a wasteful number, since it uses less digits than its factorization.

1631631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 1631631872 is about 40393.4632335481. The cubic root of 1631631872 is about 1177.2645320815.

The spelling of 1631631872 in words is "one billion, six hundred thirty-one million, six hundred thirty-one thousand, eight hundred seventy-two".