13835264 has 44 divisors (see below), whose sum is σ = 28248600. Its totient is φ = 6770688.

The previous prime is 13835257. The next prime is 13835267. The reversal of 13835264 is 46253831.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13835264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13835267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60302 + ... + 60530.

Almost surely, 2^13835264 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 13835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124300).

13835264 is an abundant number, since it is smaller than the sum of its proper divisors (14413336).

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

13835264 is an equidigital number, since it uses as much as digits as its factorization.

13835264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 13835264 is about 3719.5784707410. The cubic root of 13835264 is about 240.0651674886.

The spelling of 13835264 in words is "thirteen million, eight hundred thirty-five thousand, two hundred sixty-four".