13884240 has 160 divisors (see below), whose sum is σ = 47246976. Its totient is φ = 3358720.

The previous prime is 13884239. The next prime is 13884259. The reversal of 13884240 is 4248831.

13884240 = T₁₃₅ + T₁₃₆ + ... + T₄₄₀.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13884198 and 13884207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167239 + ... + 167321.

Almost surely, 2^13884240 is an apocalyptic number.

13884240 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 13884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488).

13884240 is an abundant number, since it is smaller than the sum of its proper divisors (33362736).

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

13884240 is a wasteful number, since it uses less digits than its factorization.

13884240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 13884240 is about 3726.1561964040. The cubic root of 13884240 is about 240.3481059597.

The spelling of 13884240 in words is "thirteen million, eight hundred eighty-four thousand, two hundred forty".