13875840 has 256 divisors, whose sum is σ = 54345600. Its totient is φ = 3317760.

The previous prime is 13875787. The next prime is 13875847. The reversal of 13875840 is 4857831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13875795 and 13875804.

It is not an unprimeable number, because it can be changed into a prime (13875847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 190044 + ... + 190116.

Almost surely, 2^13875840 is an apocalyptic number.

13875840 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 13875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172800).

13875840 is an abundant number, since it is smaller than the sum of its proper divisors (40469760).

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

13875840 is a wasteful number, since it uses less digits than its factorization.

13875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13875840 is about 3725.0288589486. The cubic root of 13875840 is about 240.2996257793.

Subtracting from 13875840 its reverse (4857831), we obtain a square (9018009 = 3003²).

It can be divided in two parts, 1387 and 5840, that added together give a palindrome (7227).

The spelling of 13875840 in words is "thirteen million, eight hundred seventy-five thousand, eight hundred forty".