13806240 has 144 divisors (see below), whose sum is σ = 50676192. Its totient is φ = 3150336.

The previous prime is 13806239. The next prime is 13806241. The reversal of 13806240 is 4260831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13806239) and next prime (13806241).

It is a super-2 number, since 2×13806240² = 381224525875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13806240.

It is not an unprimeable number, because it can be changed into a prime (13806241) 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, 23227 + ... + 23813.

It is an arithmetic number, because the mean of its divisors is an integer number (351918).

Almost surely, 2^13806240 is an apocalyptic number.

13806240 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 13806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25338096).

13806240 is an abundant number, since it is smaller than the sum of its proper divisors (36869952).

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

13806240 is a wasteful number, since it uses less digits than its factorization.

13806240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13806240 is about 3715.6749050475. The cubic root of 13806240 is about 239.8971781771.

The spelling of 13806240 in words is "thirteen million, eight hundred six thousand, two hundred forty".