13506264 has 80 divisors (see below), whose sum is σ = 39857400. Its totient is φ = 4261248.

The previous prime is 13506217. The next prime is 13506277. The reversal of 13506264 is 46260531.

13506264 is a `hidden beast` number, since 1 + 35 + 0 + 626 + 4 = 666.

13506264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11764 + ... + 12860.

Almost surely, 2^13506264 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 13506264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19928700).

13506264 is an abundant number, since it is smaller than the sum of its proper divisors (26351136).

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

13506264 is a wasteful number, since it uses less digits than its factorization.

13506264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13506264 is about 3675.0869377472. The cubic root of 13506264 is about 238.1469798051.

Adding to 13506264 its reverse (46260531), we get a palindrome (59766795).

The spelling of 13506264 in words is "thirteen million, five hundred six thousand, two hundred sixty-four".