13539680 has 144 divisors (see below), whose sum is σ = 40851216. Its totient is φ = 4193280.

The previous prime is 13539677. The next prime is 13539683. The reversal of 13539680 is 8693531.

It is an interprime number because it is at equal distance from previous prime (13539677) and next prime (13539683).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13539680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13539683) 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 23 ways as a sum of consecutive naturals, for example, 86162 + ... + 86318.

It is an arithmetic number, because the mean of its divisors is an integer number (283689).

Almost surely, 2^13539680 is an apocalyptic number.

13539680 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 13539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20425608).

13539680 is an abundant number, since it is smaller than the sum of its proper divisors (27311536).

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

13539680 is a wasteful number, since it uses less digits than its factorization.

13539680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 13539680 is about 3679.6304162239. The cubic root of 13539680 is about 238.3432187640.

The spelling of 13539680 in words is "thirteen million, five hundred thirty-nine thousand, six hundred eighty".