636444 has 48 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 206640.

The previous prime is 636421. The next prime is 636469. The reversal of 636444 is 444636.

636444 = T₈₀ + T₈₁ + ... + T₁₆₂.

It is a happy number.

636444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

636444 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 15 ways as a sum of consecutive naturals, for example, 7627 + ... + 7709.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁶³⁶⁴⁴⁴ 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 636444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

636444 is an abundant number, since it is smaller than the sum of its proper divisors (1056996).

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

636444 is a wasteful number, since it uses less digits than its factorization.

636444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 636444 is about 797.7744042021. The cubic root of 636444 is about 86.0174833753.

The spelling of 636444 in words is "six hundred thirty-six thousand, four hundred forty-four".