13416264 has 96 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 4128768.

The previous prime is 13416253. The next prime is 13416283. The reversal of 13416264 is 46261431.

13416264 is a `hidden beast` number, since 1 + 34 + 1 + 626 + 4 = 666.

13416264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9180900 + 4235364 = 3030^2 + 2058^2 .

It is a super-2 number, since 2×13416264² = 359992279435392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118672 + ... + 118784.

Almost surely, 2^13416264 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 13416264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

13416264 is an abundant number, since it is smaller than the sum of its proper divisors (25797456).

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

13416264 is a wasteful number, since it uses less digits than its factorization.

13416264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13416264 is about 3662.8218629903. The cubic root of 13416264 is about 237.6168304236.

Adding to 13416264 its reverse (46261431), we get a palindrome (59677695).

The spelling of 13416264 in words is "thirteen million, four hundred sixteen thousand, two hundred sixty-four".