635634 has 32 divisors (see below), whose sum is σ = 1440000. Its totient is φ = 207792.

The previous prime is 635617. The next prime is 635639. The reversal of 635634 is 436536.

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

It is a junction number, because it is equal to n+sod(n) for n = 635598 and 635607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4192 + ... + 4340.

It is an arithmetic number, because the mean of its divisors is an integer number (45000).

2⁶³⁵⁶³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 635634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720000).

635634 is an abundant number, since it is smaller than the sum of its proper divisors (804366).

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

635634 is a wasteful number, since it uses less digits than its factorization.

635634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

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

The square root of 635634 is about 797.2665802603. The cubic root of 635634 is about 85.9809765025.

The spelling of 635634 in words is "six hundred thirty-five thousand, six hundred thirty-four".