13819840 has 56 divisors (see below), whose sum is σ = 34655760. Its totient is φ = 5234688.

The previous prime is 13819837. The next prime is 13819843. The reversal of 13819840 is 4891831.

13819840 = T₁₁₉ + T₁₂₀ + ... + T₄₃₈.

13819840 = 263² + 264² + ... + 390².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13819837) and next prime (13819843).

It is a junction number, because it is equal to n+sod(n) for n = 13819796 and 13819805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13819843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4944 + ... + 7216.

Almost surely, 2^13819840 is an apocalyptic number.

13819840 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 13819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17327880).

13819840 is an abundant number, since it is smaller than the sum of its proper divisors (20835920).

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

13819840 is a wasteful number, since it uses less digits than its factorization.

13819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 13819840 is about 3717.5045393382. The cubic root of 13819840 is about 239.9759235107.

The spelling of 13819840 in words is "thirteen million, eight hundred nineteen thousand, eight hundred forty".