631072 has 48 divisors (see below), whose sum is σ = 1407672. Its totient is φ = 276480.

The previous prime is 631061. The next prime is 631121. The reversal of 631072 is 270136.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 226576 = 636^2 + 476^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15372 + ... + 15412.

2⁶³¹⁰⁷² 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 631072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703836).

631072 is an abundant number, since it is smaller than the sum of its proper divisors (776600).

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

631072 is a wasteful number, since it uses less digits than its factorization.

631072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 631072 is about 794.4004028196. The cubic root of 631072 is about 85.7747848016.

The spelling of 631072 in words is "six hundred thirty-one thousand, seventy-two".