13788540 has 36 divisors (see below), whose sum is σ = 41825784. Its totient is φ = 3676896.

The previous prime is 13788539. The next prime is 13788553. The reversal of 13788540 is 4588731.

13788540 is a `hidden beast` number, since 1 + 37 + 88 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13788495 and 13788504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38122 + ... + 38481.

Almost surely, 2^13788540 is an apocalyptic number.

13788540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13788540 is an abundant number, since it is smaller than the sum of its proper divisors (28037244).

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

13788540 is a wasteful number, since it uses less digits than its factorization.

13788540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76618 (or 76613 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13788540 is about 3713.2923396899. The cubic root of 13788540 is about 239.7946159559.

The spelling of 13788540 in words is "thirteen million, seven hundred eighty-eight thousand, five hundred forty".