13823280 has 120 divisors (see below), whose sum is σ = 47238048. Its totient is φ = 3621888.

The previous prime is 13823269. The next prime is 13823281. The reversal of 13823280 is 8232831.

13823280 is a `hidden beast` number, since 1 + 382 + 3 + 280 = 666.

13823280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (13823281) 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, 52429 + ... + 52691.

Almost surely, 2^13823280 is an apocalyptic number.

13823280 is a gapful number since it is divisible by the number (10) 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 13823280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23619024).

13823280 is an abundant number, since it is smaller than the sum of its proper divisors (33414768).

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

13823280 is a wasteful number, since it uses less digits than its factorization.

13823280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13823280 is about 3717.9671865147. The cubic root of 13823280 is about 239.9958332610.

The spelling of 13823280 in words is "thirteen million, eight hundred twenty-three thousand, two hundred eighty".