634644 has 54 divisors (see below), whose sum is σ = 1732094. Its totient is φ = 195840.

The previous prime is 634643. The next prime is 634649. The reversal of 634644 is 446436.

It is a happy number.

634644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 90000 + 544644 = 300^2 + 738^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10374 + ... + 10434.

2⁶³⁴⁶⁴⁴ 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 634644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866047).

634644 is an abundant number, since it is smaller than the sum of its proper divisors (1097450).

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

634644 is a wasteful number, since it uses less digits than its factorization.

634644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 634644 is about 796.6454669425. The cubic root of 634644 is about 85.9363148487.

The spelling of 634644 in words is "six hundred thirty-four thousand, six hundred forty-four".