13419264 has 72 divisors (see below), whose sum is σ = 36276912. Its totient is φ = 4403200.

The previous prime is 13419233. The next prime is 13419269. The reversal of 13419264 is 46291431.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13419269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77482 + ... + 77654.

It is an arithmetic number, because the mean of its divisors is an integer number (503846).

Almost surely, 2^13419264 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 13419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138456).

13419264 is an abundant number, since it is smaller than the sum of its proper divisors (22857648).

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

13419264 is a wasteful number, since it uses less digits than its factorization.

13419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 13419264 is about 3663.2313604248. The cubic root of 13419264 is about 237.6345402064.

The spelling of 13419264 in words is "thirteen million, four hundred nineteen thousand, two hundred sixty-four".