13816320 has 160 divisors (see below), whose sum is σ = 50675328. Its totient is φ = 3145728.

The previous prime is 13816279. The next prime is 13816333. The reversal of 13816320 is 2361831.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53632 + ... + 53888.

Almost surely, 2^13816320 is an apocalyptic number.

13816320 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 13816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25337664).

13816320 is an abundant number, since it is smaller than the sum of its proper divisors (36859008).

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

13816320 is an equidigital number, since it uses as much as digits as its factorization.

13816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13816320 is about 3717.0310733164. The cubic root of 13816320 is about 239.9555473226.

The spelling of 13816320 in words is "thirteen million, eight hundred sixteen thousand, three hundred twenty".