13857120 has 72 divisors (see below), whose sum is σ = 47292336. Its totient is φ = 3694848.

The previous prime is 13857113. The next prime is 13857121. The reversal of 13857120 is 2175831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13857121) 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 11 ways as a sum of consecutive naturals, for example, 3372 + ... + 6251.

It is an arithmetic number, because the mean of its divisors is an integer number (656838).

Almost surely, 2^13857120 is an apocalyptic number.

13857120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13857120 is an abundant number, since it is smaller than the sum of its proper divisors (33435216).

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

13857120 is a wasteful number, since it uses less digits than its factorization.

13857120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13857120 is about 3722.5152786792. The cubic root of 13857120 is about 240.1915138029.

The spelling of 13857120 in words is "thirteen million, eight hundred fifty-seven thousand, one hundred twenty".