13818240 has 96 divisors (see below), whose sum is σ = 47736000. Its totient is φ = 3683328.

The previous prime is 13818227. The next prime is 13818253. The reversal of 13818240 is 4281831.

It is an interprime number because it is at equal distance from previous prime (13818227) and next prime (13818253).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4561 + ... + 6959.

It is an arithmetic number, because the mean of its divisors is an integer number (497250).

Almost surely, 2^13818240 is an apocalyptic number.

13818240 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 13818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868000).

13818240 is an abundant number, since it is smaller than the sum of its proper divisors (33917760).

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

13818240 is a wasteful number, since it uses less digits than its factorization.

13818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13818240 is about 3717.2893349859. The cubic root of 13818240 is about 239.9666620360.

The spelling of 13818240 in words is "thirteen million, eight hundred eighteen thousand, two hundred forty".