13755840 has 224 divisors, whose sum is σ = 52669440. Its totient is φ = 2973696.

The previous prime is 13755827. The next prime is 13755871. The reversal of 13755840 is 4855731.

It is a tau number, because it is divible by the number of its divisors (224).

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, 154516 + ... + 154604.

Almost surely, 2^13755840 is an apocalyptic number.

13755840 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 13755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334720).

13755840 is an abundant number, since it is smaller than the sum of its proper divisors (38913600).

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

13755840 is a wasteful number, since it uses less digits than its factorization.

13755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 13755840 is about 3708.8866253904. The cubic root of 13755840 is about 239.6049054972.

The spelling of 13755840 in words is "thirteen million, seven hundred fifty-five thousand, eight hundred forty".