13200384 has 44 divisors (see below), whose sum is σ = 35192024. Its totient is φ = 4399104.

The previous prime is 13200359. The next prime is 13200409. The reversal of 13200384 is 48300231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13200359) and next prime (13200409).

It is a self number, because there is not a number n which added to its sum of digits gives 13200384.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 924 + ... + 5220.

Almost surely, 2^13200384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17596012).

13200384 is an abundant number, since it is smaller than the sum of its proper divisors (21991640).

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

13200384 is an equidigital number, since it uses as much as digits as its factorization.

13200384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13200384 is about 3633.2332707934. The cubic root of 13200384 is about 236.3354417867.

The spelling of 13200384 in words is "thirteen million, two hundred thousand, three hundred eighty-four".