631764 has 72 divisors (see below), whose sum is σ = 1921920. Its totient is φ = 171072.

The previous prime is 631753. The next prime is 631789. The reversal of 631764 is 467136.

631764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (3024) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 631764.

It is an unprimeable number.

631764 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 23 ways as a sum of consecutive naturals, for example, 5742 + ... + 5850.

2⁶³¹⁷⁶⁴ 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 631764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960960).

631764 is an abundant number, since it is smaller than the sum of its proper divisors (1290156).

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

631764 is a wasteful number, since it uses less digits than its factorization.

631764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 631764 is about 794.8358321062. The cubic root of 631764 is about 85.8061253716.

The spelling of 631764 in words is "six hundred thirty-one thousand, seven hundred sixty-four".