13395564 has 192 divisors, whose sum is σ = 45158400. Its totient is φ = 3338496.

The previous prime is 13395559. The next prime is 13395581. The reversal of 13395564 is 46559331.

13395564 is a `hidden beast` number, since 1 + 3 + 3 + 95 + 564 = 666.

13395564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13395564² = 358882269756192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284989 + ... + 285035.

It is an arithmetic number, because the mean of its divisors is an integer number (235200).

Almost surely, 2^13395564 is an apocalyptic number.

13395564 is a gapful number since it is divisible by the number (14) 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 13395564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

13395564 is an abundant number, since it is smaller than the sum of its proper divisors (31762836).

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

13395564 is a wasteful number, since it uses less digits than its factorization.

13395564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 13395564 is about 3659.9950819639. The cubic root of 13395564 is about 237.4945609096.

Adding to 13395564 its sum of digits (36), we get a square (13395600 = 3660²).

It can be divided in two parts, 1339 and 5564, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 13395564 in words is "thirteen million, three hundred ninety-five thousand, five hundred sixty-four".