13874240 has 56 divisors (see below), whose sum is σ = 33357312. Its totient is φ = 5496320.

The previous prime is 13874239. The next prime is 13874243. The reversal of 13874240 is 4247831.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13874243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61007 + ... + 61233.

Almost surely, 2^13874240 is an apocalyptic number.

13874240 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 13874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678656).

13874240 is an abundant number, since it is smaller than the sum of its proper divisors (19483072).

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

13874240 is a wasteful number, since it uses less digits than its factorization.

13874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 13874240 is about 3724.8140893204. The cubic root of 13874240 is about 240.2903892411.

The spelling of 13874240 in words is "thirteen million, eight hundred seventy-four thousand, two hundred forty".