13611264 has 72 divisors (see below), whose sum is σ = 37282560. Its totient is φ = 4405248.

The previous prime is 13611259. The next prime is 13611281. The reversal of 13611264 is 46211631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28177 + ... + 28655.

Almost surely, 2^13611264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641280).

13611264 is an abundant number, since it is smaller than the sum of its proper divisors (23671296).

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

13611264 is an equidigital number, since it uses as much as digits as its factorization.

13611264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 521 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 13611264 is about 3689.3446572528. The cubic root of 13611264 is about 238.7625191940.

Adding to 13611264 its reverse (46211631), we get a palindrome (59822895).

The spelling of 13611264 in words is "thirteen million, six hundred eleven thousand, two hundred sixty-four".