13853268 has 180 divisors, whose sum is σ = 44640288. Its totient is φ = 3706560.

The previous prime is 13853263. The next prime is 13853269. The reversal of 13853268 is 86235831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13853263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 602305 + ... + 602327.

Almost surely, 2^13853268 is an apocalyptic number.

13853268 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 13853268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320144).

13853268 is an abundant number, since it is smaller than the sum of its proper divisors (30787020).

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

13853268 is a wasteful number, since it uses less digits than its factorization.

13853268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

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

The square root of 13853268 is about 3721.9978506173. The cubic root of 13853268 is about 240.1692556075.

The spelling of 13853268 in words is "thirteen million, eight hundred fifty-three thousand, two hundred sixty-eight".