635216 has 30 divisors (see below), whose sum is σ = 1308510. Its totient is φ = 298368.

The previous prime is 635207. The next prime is 635249. The reversal of 635216 is 612536.

It can be written as a sum of positive squares in 3 ways, for example, as 364816 + 270400 = 604^2 + 520^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 635191 and 635200.

It is a congruent number.

It is an unprimeable number.

635216 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 5 ways as a sum of consecutive naturals, for example, 17150 + ... + 17186.

It is an arithmetic number, because the mean of its divisors is an integer number (43617).

2⁶³⁵²¹⁶ 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 635216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654255).

635216 is an abundant number, since it is smaller than the sum of its proper divisors (673294).

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

635216 is a wasteful number, since it uses less digits than its factorization.

635216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 68 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 635216 is about 797.0043914559. The cubic root of 635216 is about 85.9621250203.

The spelling of 635216 in words is "six hundred thirty-five thousand, two hundred sixteen".