13363840 has 128 divisors (see below), whose sum is σ = 38678400. Its totient is φ = 4313088.

The previous prime is 13363837. The next prime is 13363849. The reversal of 13363840 is 4836331.

13363840 is nontrivially palindromic in base 12.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13363799 and 13363808.

It is not an unprimeable number, because it can be changed into a prime (13363849) 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, 85042 + ... + 85198.

It is an arithmetic number, because the mean of its divisors is an integer number (302175).

Almost surely, 2^13363840 is an apocalyptic number.

13363840 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 13363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339200).

13363840 is an abundant number, since it is smaller than the sum of its proper divisors (25314560).

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

13363840 is a wasteful number, since it uses less digits than its factorization.

13363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 13363840 is about 3655.6586273885. The cubic root of 13363840 is about 237.3069308115.

The spelling of 13363840 in words is "thirteen million, three hundred sixty-three thousand, eight hundred forty".