13814120 has 32 divisors (see below), whose sum is σ = 31232520. Its totient is φ = 5498880.

The previous prime is 13814117. The next prime is 13814123. The reversal of 13814120 is 2141831.

It is an interprime number because it is at equal distance from previous prime (13814117) and next prime (13814123).

It can be written as a sum of positive squares in 4 ways, for example, as 13498276 + 315844 = 3674^2 + 562^2 .

It is a super-2 number, since 2×13814120² = 381659822748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13814092 and 13814101.

It is not an unprimeable number, because it can be changed into a prime (13814123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8924 + ... + 10356.

Almost surely, 2^13814120 is an apocalyptic number.

13814120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13814120 is an abundant number, since it is smaller than the sum of its proper divisors (17418400).

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

13814120 is a wasteful number, since it uses less digits than its factorization.

13814120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 13814120 is about 3716.7351264248. The cubic root of 13814120 is about 239.9428104475.

Adding to 13814120 its reverse (2141831), we get a palindrome (15955951).

The spelling of 13814120 in words is "thirteen million, eight hundred fourteen thousand, one hundred twenty".