13875360 has 96 divisors (see below), whose sum is σ = 44235072. Its totient is φ = 3655680.

The previous prime is 13875353. The next prime is 13875361. The reversal of 13875360 is 6357831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13875361) 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 15 ways as a sum of consecutive naturals, for example, 65655 + ... + 65865.

It is an arithmetic number, because the mean of its divisors is an integer number (460782).

Almost surely, 2^13875360 is an apocalyptic number.

13875360 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 13875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22117536).

13875360 is an abundant number, since it is smaller than the sum of its proper divisors (30359712).

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

13875360 is a wasteful number, since it uses less digits than its factorization.

13875360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 13875360 is about 3724.9644293604. The cubic root of 13875360 is about 240.2968548924.

The spelling of 13875360 in words is "thirteen million, eight hundred seventy-five thousand, three hundred sixty".