13865320 has 64 divisors (see below), whose sum is σ = 37221120. Its totient is φ = 4545024.

The previous prime is 13865317. The next prime is 13865323. The reversal of 13865320 is 2356831.

It is an interprime number because it is at equal distance from previous prime (13865317) and next prime (13865323).

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

It is not an unprimeable number, because it can be changed into a prime (13865323) 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, 5364 + ... + 7516.

It is an arithmetic number, because the mean of its divisors is an integer number (581580).

Almost surely, 2^13865320 is an apocalyptic number.

13865320 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 13865320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18610560).

13865320 is an abundant number, since it is smaller than the sum of its proper divisors (23355800).

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

13865320 is a wasteful number, since it uses less digits than its factorization.

13865320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 13865320 is about 3723.6165216091. The cubic root of 13865320 is about 240.2388825212.

The spelling of 13865320 in words is "thirteen million, eight hundred sixty-five thousand, three hundred twenty".