13655520 has 192 divisors, whose sum is σ = 49896000. Its totient is φ = 3483648.

The previous prime is 13655519. The next prime is 13655527. The reversal of 13655520 is 2555631.

13655520 is a `hidden beast` number, since 1 + 3 + 655 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13655527) 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 31 ways as a sum of consecutive naturals, for example, 125226 + ... + 125334.

It is an arithmetic number, because the mean of its divisors is an integer number (259875).

Almost surely, 2^13655520 is an apocalyptic number.

13655520 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 13655520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948000).

13655520 is an abundant number, since it is smaller than the sum of its proper divisors (36240480).

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

13655520 is a wasteful number, since it uses less digits than its factorization.

13655520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 13655520 is about 3695.3376029803. The cubic root of 13655520 is about 239.0210120238.

The spelling of 13655520 in words is "thirteen million, six hundred fifty-five thousand, five hundred twenty".