635936 has 48 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 254976.

The previous prime is 635923. The next prime is 635939. The reversal of 635936 is 639536.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635939) by changing a digit.

635936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3725 + ... + 3891.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁶³⁵⁹³⁶ 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 635936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

635936 is an abundant number, since it is smaller than the sum of its proper divisors (888160).

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

635936 is a wasteful number, since it uses less digits than its factorization.

635936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its digits is 14580, while the sum is 32.

The square root of 635936 is about 797.4559548966. The cubic root of 635936 is about 85.9945913310.

Subtracting 635936 from its reverse (639536), we obtain a square (3600 = 60²).

The spelling of 635936 in words is "six hundred thirty-five thousand, nine hundred thirty-six".