631872 has 42 divisors (see below), whose sum is σ = 1812798. Its totient is φ = 210432.

The previous prime is 631867. The next prime is 631889. The reversal of 631872 is 278136.

It can be written as a sum of positive squares in only one way, i.e., 484416 + 147456 = 696^2 + 384^2 .

It is an unprimeable number.

631872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28 + ... + 1124.

2⁶³¹⁸⁷² 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 631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906399).

631872 is an abundant number, since it is smaller than the sum of its proper divisors (1180926).

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

631872 is a wasteful number, since it uses less digits than its factorization.

631872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1102 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 631872 is about 794.9037677606. The cubic root of 631872 is about 85.8110146095.

It can be divided in two parts, 6 and 31872, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 631872 in words is "six hundred thirty-one thousand, eight hundred seventy-two".