631008144 has 300 divisors, whose sum is σ = 2053807536. Its totient is φ = 186810624.

The previous prime is 631008143. The next prime is 631008167. The reversal of 631008144 is 441800136.

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

It is not an unprimeable number, because it can be changed into a prime (631008143) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9417999 + ... + 9418065.

Almost surely, 2^631008144 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 631008144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026903768).

631008144 is an abundant number, since it is smaller than the sum of its proper divisors (1422799392).

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

631008144 is a wasteful number, since it uses less digits than its factorization.

631008144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 631008144 is about 25119.8754773984. The cubic root of 631008144 is about 857.7189161905.

The spelling of 631008144 in words is "six hundred thirty-one million, eight thousand, one hundred forty-four".