13556340 has 216 divisors, whose sum is σ = 50417640. Its totient is φ = 2935296.

The previous prime is 13556339. The next prime is 13556341. The reversal of 13556340 is 4365531.

It is an interprime number because it is at equal distance from previous prime (13556339) and next prime (13556341).

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 11009124 = 1596^2 + 3318^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13556341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255754 + ... + 255806.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 2^13556340 is an apocalyptic number.

13556340 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 13556340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25208820).

13556340 is an abundant number, since it is smaller than the sum of its proper divisors (36861300).

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

13556340 is a wasteful number, since it uses less digits than its factorization.

13556340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13556340 is about 3681.8935345824. The cubic root of 13556340 is about 238.4409357584.

The spelling of 13556340 in words is "thirteen million, five hundred fifty-six thousand, three hundred forty".