635364 has 60 divisors (see below), whose sum is σ = 1738044. Its totient is φ = 202176.

The previous prime is 635363. The next prime is 635387. The reversal of 635364 is 463536.

635364 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 2 ways, for example, as 518400 + 116964 = 720^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 635364.

It is not an unprimeable number, because it can be changed into a prime (635363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11962 + ... + 12014.

2⁶³⁵³⁶⁴ 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 635364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869022).

635364 is an abundant number, since it is smaller than the sum of its proper divisors (1102680).

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

635364 is a wasteful number, since it uses less digits than its factorization.

635364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 635364 is about 797.0972337174. The cubic root of 635364 is about 85.9688006532.

635364 divided by its sum of digits (27) gives a palindrome (23532).

It can be divided in two parts, 635 and 364, that added together give a palindrome (999).

The spelling of 635364 in words is "six hundred thirty-five thousand, three hundred sixty-four".