13857360 has 160 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 3225600.

The previous prime is 13857359. The next prime is 13857373. The reversal of 13857360 is 6375831.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 76470 + ... + 76650.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 2^13857360 is an apocalyptic number.

13857360 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 13857360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

13857360 is an abundant number, since it is smaller than the sum of its proper divisors (34889520).

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

13857360 is a wasteful number, since it uses less digits than its factorization.

13857360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

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

The square root of 13857360 is about 3722.5475148076. The cubic root of 13857360 is about 240.1929004699.

The spelling of 13857360 in words is "thirteen million, eight hundred fifty-seven thousand, three hundred sixty".