13864000 has 56 divisors (see below), whose sum is σ = 34354008. Its totient is φ = 5542400.

The previous prime is 13863979. The next prime is 13864021. The reversal of 13864000 is 46831.

It is an interprime number because it is at equal distance from previous prime (13863979) and next prime (13864021).

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 13075456 = 888^2 + 3616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7134 + ... + 8866.

Almost surely, 2^13864000 is an apocalyptic number.

13864000 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 13864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17177004).

13864000 is an abundant number, since it is smaller than the sum of its proper divisors (20490008).

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

13864000 is an equidigital number, since it uses as much as digits as its factorization.

13864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 13864000 is about 3723.4392703521. The cubic root of 13864000 is about 240.2312585744.

The spelling of 13864000 in words is "thirteen million, eight hundred sixty-four thousand".