13564104 has 16 divisors (see below), whose sum is σ = 33910320. Its totient is φ = 4521360.

The previous prime is 13564099. The next prime is 13564123. The reversal of 13564104 is 40146531.

It is a super-3 number, since 3×13564104³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 565171 = 13564104 / (1 + 3 + 5 + 6 + 4 + 1 + 0 + 4).

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 3 ways as a sum of consecutive naturals, for example, 282562 + ... + 282609.

It is an arithmetic number, because the mean of its divisors is an integer number (2119395).

Almost surely, 2^13564104 is an apocalyptic number.

It is an amenable number.

13564104 is an abundant number, since it is smaller than the sum of its proper divisors (20346216).

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

13564104 is a wasteful number, since it uses less digits than its factorization.

13564104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565180 (or 565176 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13564104 is about 3682.9477324556. The cubic root of 13564104 is about 238.4864471112.

It can be divided in two parts, 1356 and 4104, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 13564104 in words is "thirteen million, five hundred sixty-four thousand, one hundred four".