13655880 has 96 divisors (see below), whose sum is σ = 50731200. Its totient is φ = 3120768.

The previous prime is 13655869. The next prime is 13655881. The reversal of 13655880 is 8855631.

13655880 is a `hidden beast` number, since 13 + 65 + 588 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13655881) 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, 190 + ... + 5229.

It is an arithmetic number, because the mean of its divisors is an integer number (528450).

Almost surely, 2^13655880 is an apocalyptic number.

13655880 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 13655880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25365600).

13655880 is an abundant number, since it is smaller than the sum of its proper divisors (37075320).

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

13655880 is a wasteful number, since it uses less digits than its factorization.

13655880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 13655880 is about 3695.3863126878. The cubic root of 13655880 is about 239.0231124395.

It can be divided in two parts, 13655 and 880, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 13655880 in words is "thirteen million, six hundred fifty-five thousand, eight hundred eighty".