13564096 has 112 divisors (see below), whose sum is σ = 35332416. Its totient is φ = 5013504.

The previous prime is 13564093. The next prime is 13564099. The reversal of 13564096 is 69046531.

13564096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13564093) and next prime (13564099).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (13564093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98940 + ... + 99076.

It is an arithmetic number, because the mean of its divisors is an integer number (315468).

Almost surely, 2^13564096 is an apocalyptic number.

13564096 is a gapful number since it is divisible by the number (16) 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 13564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666208).

13564096 is an abundant number, since it is smaller than the sum of its proper divisors (21768320).

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

13564096 is a wasteful number, since it uses less digits than its factorization.

13564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 13564096 is about 3682.9466463689. The cubic root of 13564096 is about 238.4864002254.

The spelling of 13564096 in words is "thirteen million, five hundred sixty-four thousand, ninety-six".