13614120 has 96 divisors (see below), whose sum is σ = 47665800. Its totient is φ = 3350016.

The previous prime is 13614109. The next prime is 13614131. The reversal of 13614120 is 2141631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13614109) and next prime (13614131).

It can be written as a sum of positive squares in 4 ways, for example, as 11009124 + 2604996 = 3318^2 + 1614^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13614093 and 13614102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3226 + ... + 6134.

Almost surely, 2^13614120 is an apocalyptic number.

13614120 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 13614120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23832900).

13614120 is an abundant number, since it is smaller than the sum of its proper divisors (34051680).

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

13614120 is a wasteful number, since it uses less digits than its factorization.

13614120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13614120 is about 3689.7316975628. The cubic root of 13614120 is about 238.7792175714.

Adding to 13614120 its reverse (2141631), we get a palindrome (15755751).

It can be divided in two parts, 136141 and 20, that added together give a square (136161 = 369²).

The spelling of 13614120 in words is "thirteen million, six hundred fourteen thousand, one hundred twenty".