13864320 has 192 divisors, whose sum is σ = 50122800. Its totient is φ = 3526656.

The previous prime is 13864313. The next prime is 13864321. The reversal of 13864320 is 2346831.

13864320 = T₅₃₆ + T₅₃₇ + ... + T₆₁₈.

It is a happy number.

13864320 is a `hidden beast` number, since 13 + 8 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13864321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166999 + ... + 167081.

Almost surely, 2^13864320 is an apocalyptic number.

13864320 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 13864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061400).

13864320 is an abundant number, since it is smaller than the sum of its proper divisors (36258480).

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

13864320 is a wasteful number, since it uses less digits than its factorization.

13864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13864320 is about 3723.4822411286. The cubic root of 13864320 is about 240.2331068484.

The spelling of 13864320 in words is "thirteen million, eight hundred sixty-four thousand, three hundred twenty".