13835268 has 72 divisors (see below), whose sum is σ = 37346400. Its totient is φ = 4306176.

The previous prime is 13835267. The next prime is 13835281. The reversal of 13835268 is 86253831.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 77203 + ... + 77381.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 2^13835268 is an apocalyptic number.

13835268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13835268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673200).

13835268 is an abundant number, since it is smaller than the sum of its proper divisors (23511132).

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

13835268 is a wasteful number, since it uses less digits than its factorization.

13835268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13835268 is about 3719.5790084363. The cubic root of 13835268 is about 240.0651906242.

The spelling of 13835268 in words is "thirteen million, eight hundred thirty-five thousand, two hundred sixty-eight".