13614240 has 96 divisors (see below), whose sum is σ = 43436736. Its totient is φ = 3584000.

The previous prime is 13614233. The next prime is 13614247. The reversal of 13614240 is 4241631.

It is an interprime number because it is at equal distance from previous prime (13614233) and next prime (13614247).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13614247) 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 15 ways as a sum of consecutive naturals, for example, 54115 + ... + 54365.

It is an arithmetic number, because the mean of its divisors is an integer number (452466).

Almost surely, 2^13614240 is an apocalyptic number.

13614240 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 13614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718368).

13614240 is an abundant number, since it is smaller than the sum of its proper divisors (29822496).

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

13614240 is a wasteful number, since it uses less digits than its factorization.

13614240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13614240 is about 3689.7479588720. The cubic root of 13614240 is about 238.7799191327.

Adding to 13614240 its reverse (4241631), we get a palindrome (17855871).

The spelling of 13614240 in words is "thirteen million, six hundred fourteen thousand, two hundred forty".