13655340 has 72 divisors (see below), whose sum is σ = 41867280. Its totient is φ = 3602304.

The previous prime is 13655311. The next prime is 13655347. The reversal of 13655340 is 4355631.

13655340 is a `hidden beast` number, since 1 + 3 + 655 + 3 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (13655347) 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, 18906 + ... + 19614.

It is an arithmetic number, because the mean of its divisors is an integer number (581490).

Almost surely, 2^13655340 is an apocalyptic number.

13655340 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 13655340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933640).

13655340 is an abundant number, since it is smaller than the sum of its proper divisors (28211940).

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

13655340 is a wasteful number, since it uses less digits than its factorization.

13655340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 826 counting only the distinct ones).

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

The square root of 13655340 is about 3695.3132478858. The cubic root of 13655340 is about 239.0199618021.

The spelling of 13655340 in words is "thirteen million, six hundred fifty-five thousand, three hundred forty".