13875240 has 64 divisors (see below), whose sum is σ = 42609600. Its totient is φ = 3612672.

The previous prime is 13875217. The next prime is 13875269. The reversal of 13875240 is 4257831.

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 = 13875198 and 13875207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3816 + ... + 6504.

It is an arithmetic number, because the mean of its divisors is an integer number (665775).

Almost surely, 2^13875240 is an apocalyptic number.

13875240 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 13875240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21304800).

13875240 is an abundant number, since it is smaller than the sum of its proper divisors (28734360).

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

13875240 is a wasteful number, since it uses less digits than its factorization.

13875240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 13875240 is about 3724.9483217892. The cubic root of 13875240 is about 240.2961621607.

The spelling of 13875240 in words is "thirteen million, eight hundred seventy-five thousand, two hundred forty".