631296 has 60 divisors (see below), whose sum is σ = 1835262. Its totient is φ = 208896.

The previous prime is 631291. The next prime is 631307. The reversal of 631296 is 692136.

It is a happy number.

631296 is a `hidden beast` number, since 631 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 112896 = 720^2 + 336^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (631291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4540 + ... + 4676.

2⁶³¹²⁹⁶ 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 631296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917631).

631296 is an abundant number, since it is smaller than the sum of its proper divisors (1203966).

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

631296 is a wasteful number, since it uses less digits than its factorization.

631296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 631296 is about 794.5413771478. The cubic root of 631296 is about 85.7849322327.

The spelling of 631296 in words is "six hundred thirty-one thousand, two hundred ninety-six".