13335840 has 288 divisors, whose sum is σ = 55036800. Its totient is φ = 3048192.

The previous prime is 13335821. The next prime is 13335841. The reversal of 13335840 is 4853331.

It is a happy number.

13335840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13335841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905117 + ... + 1905123.

It is an arithmetic number, because the mean of its divisors is an integer number (191100).

Almost surely, 2^13335840 is an apocalyptic number.

13335840 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 13335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

13335840 is an abundant number, since it is smaller than the sum of its proper divisors (41700960).

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

13335840 is an frugal number, since it uses more digits than its factorization.

13335840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13335840 is about 3651.8269400397. The cubic root of 13335840 is about 237.1410792780.

The spelling of 13335840 in words is "thirteen million, three hundred thirty-five thousand, eight hundred forty".