13542320 has 60 divisors (see below), whose sum is σ = 34633200. Its totient is φ = 4920960.

The previous prime is 13542317. The next prime is 13542323. The reversal of 13542320 is 2324531.

It is a happy number.

13542320 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 (13542317) and next prime (13542323).

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 = 13542292 and 13542301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8981 + ... + 10379.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 2^13542320 is an apocalyptic number.

13542320 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 13542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316600).

13542320 is an abundant number, since it is smaller than the sum of its proper divisors (21090880).

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

13542320 is a wasteful number, since it uses less digits than its factorization.

13542320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13542320 is about 3679.9891304187. The cubic root of 13542320 is about 238.3587086723.

Adding to 13542320 its reverse (2324531), we get a palindrome (15866851).

The spelling of 13542320 in words is "thirteen million, five hundred forty-two thousand, three hundred twenty".