13655040 has 176 divisors, whose sum is σ = 50307072. Its totient is φ = 3096576.

The previous prime is 13655039. The next prime is 13655093. The reversal of 13655040 is 4055631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13655040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107457 + ... + 107583.

Almost surely, 2^13655040 is an apocalyptic number.

13655040 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 13655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25153536).

13655040 is an abundant number, since it is smaller than the sum of its proper divisors (36652032).

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

13655040 is a wasteful number, since it uses less digits than its factorization.

13655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 13655040 is about 3695.2726557049. The cubic root of 13655040 is about 239.0182114120.

The spelling of 13655040 in words is "thirteen million, six hundred fifty-five thousand, forty".