13564480 has 112 divisors (see below), whose sum is σ = 35844480. Its totient is φ = 4866048.

The previous prime is 13564471. The next prime is 13564483. The reversal of 13564480 is 8446531.

It is a happy number.

13564480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13564483) 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, 139792 + ... + 139888.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 2^13564480 is an apocalyptic number.

13564480 is a gapful number since it is divisible by the number (10) 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 13564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

13564480 is an abundant number, since it is smaller than the sum of its proper divisors (22280000).

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

13564480 is a wasteful number, since it uses less digits than its factorization.

13564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 13564480 is about 3682.9987781698. The cubic root of 13564480 is about 238.4886507234.

The spelling of 13564480 in words is "thirteen million, five hundred sixty-four thousand, four hundred eighty".