13819680 has 192 divisors, whose sum is σ = 55399680. Its totient is φ = 3151872.

The previous prime is 13819679. The next prime is 13819681. The reversal of 13819680 is 8691831.

13819680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13819679) and next prime (13819681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13819681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30012 + ... + 30468.

It is an arithmetic number, because the mean of its divisors is an integer number (288540).

Almost surely, 2^13819680 is an apocalyptic number.

13819680 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 13819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27699840).

13819680 is an abundant number, since it is smaller than the sum of its proper divisors (41580000).

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

13819680 is a wasteful number, since it uses less digits than its factorization.

13819680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13819680 is about 3717.4830194636. The cubic root of 13819680 is about 239.9749973954.

The spelling of 13819680 in words is "thirteen million, eight hundred nineteen thousand, six hundred eighty".