635712 has 112 divisors (see below), whose sum is σ = 2145792. Its totient is φ = 161280.

The previous prime is 635711. The next prime is 635729. The reversal of 635712 is 217536.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14763 + ... + 14805.

2⁶³⁵⁷¹² 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 635712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072896).

635712 is an abundant number, since it is smaller than the sum of its proper divisors (1510080).

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

635712 is a wasteful number, since it uses less digits than its factorization.

635712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 635712 is about 797.3154958986. The cubic root of 635712 is about 85.9844933282.

It can be divided in two parts, 63 and 5712, that added together give a palindrome (5775).

The spelling of 635712 in words is "six hundred thirty-five thousand, seven hundred twelve".