10635264 has 72 divisors (see below), whose sum is σ = 30769830. Its totient is φ = 3538944.

The previous prime is 10635259. The next prime is 10635271. The reversal of 10635264 is 46253601.

10635264 is a `hidden beast` number, since 1 + 0 + 635 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5760000 + 4875264 = 2400^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10635264² = 226217680699392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18144 + ... + 18720.

Almost surely, 2^10635264 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 10635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15384915).

10635264 is an abundant number, since it is smaller than the sum of its proper divisors (20134566).

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

10635264 is an equidigital number, since it uses as much as digits as its factorization.

10635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 10635264 is about 3261.1752482809. The cubic root of 10635264 is about 219.9122515069.

Adding to 10635264 its reverse (46253601), we get a palindrome (56888865).

The spelling of 10635264 in words is "ten million, six hundred thirty-five thousand, two hundred sixty-four".