13564180 has 36 divisors (see below), whose sum is σ = 33137748. Its totient is φ = 4650240.

The previous prime is 13564169. The next prime is 13564183. The reversal of 13564180 is 8146531.

It can be written as a sum of positive squares in 2 ways, for example, as 4588164 + 8976016 = 2142^2 + 2996^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13564183) by changing a digit.

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, 5941 + ... + 7900.

It is an arithmetic number, because the mean of its divisors is an integer number (920493).

Almost surely, 2^13564180 is an apocalyptic number.

13564180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13564180 is an abundant number, since it is smaller than the sum of its proper divisors (19573568).

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

13564180 is a wasteful number, since it uses less digits than its factorization.

13564180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 13564180 is about 3682.9580502634. The cubic root of 13564180 is about 238.4868925255.

The spelling of 13564180 in words is "thirteen million, five hundred sixty-four thousand, one hundred eighty".