636608 has 56 divisors (see below), whose sum is σ = 1524000. Its totient is φ = 263424.

The previous prime is 636569. The next prime is 636613. The reversal of 636608 is 806636.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 636608.

It is an unprimeable number.

636608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21938 + ... + 21966.

2⁶³⁶⁶⁰⁸ 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 636608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762000).

636608 is an abundant number, since it is smaller than the sum of its proper divisors (887392).

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

636608 is an equidigital number, since it uses as much as digits as its factorization.

636608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 636608 is about 797.8771835314. The cubic root of 636608 is about 86.0248711192.

636608 divided by its sum of digits (29) gives a cube (21952 = 28³).

The spelling of 636608 in words is "six hundred thirty-six thousand, six hundred eight".