13564540 has 24 divisors (see below), whose sum is σ = 31075632. Its totient is φ = 4932480.

The previous prime is 13564519. The next prime is 13564543. The reversal of 13564540 is 4546531.

It is a junction number, because it is equal to n+sod(n) for n = 13564499 and 13564508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13564543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30609 + ... + 31048.

It is an arithmetic number, because the mean of its divisors is an integer number (1294818).

Almost surely, 2^13564540 is an apocalyptic number.

13564540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13564540 is an abundant number, since it is smaller than the sum of its proper divisors (17511092).

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

13564540 is a wasteful number, since it uses less digits than its factorization.

13564540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61677 (or 61675 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 13564540 is about 3683.0069236970. The cubic root of 13564540 is about 238.4890023599.

Subtracting from 13564540 its reverse (4546531), we obtain a square (9018009 = 3003²).

The spelling of 13564540 in words is "thirteen million, five hundred sixty-four thousand, five hundred forty".