13824240 has 40 divisors (see below), whose sum is σ = 42855888. Its totient is φ = 3686400.

The previous prime is 13824227. The next prime is 13824241. The reversal of 13824240 is 4242831.

13824240 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 (40).

It is a super-2 number, since 2×13824240² = 382219223155200, 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 13824240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824241) 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, 28561 + ... + 29040.

Almost surely, 2^13824240 is an apocalyptic number.

13824240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13824240 is an abundant number, since it is smaller than the sum of its proper divisors (29031648).

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

13824240 is a wasteful number, since it uses less digits than its factorization.

13824240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57617 (or 57611 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 13824240 is about 3718.0962870803. The cubic root of 13824240 is about 240.0013888809.

The spelling of 13824240 in words is "thirteen million, eight hundred twenty-four thousand, two hundred forty".