13530264 has 64 divisors (see below), whose sum is σ = 37635840. Its totient is φ = 4018560.

The previous prime is 13530259. The next prime is 13530289. The reversal of 13530264 is 46203531.

13530264 = T₉ + T₁₀ + ... + T₄₃₂.

It is a happy number.

13530264 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13509 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (588060).

Almost surely, 2^13530264 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 13530264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817920).

13530264 is an abundant number, since it is smaller than the sum of its proper divisors (24105576).

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

13530264 is a wasteful number, since it uses less digits than its factorization.

13530264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 13530264 is about 3678.3507173732. The cubic root of 13530264 is about 238.2879550209.

Adding to 13530264 its reverse (46203531), we get a palindrome (59733795).

The spelling of 13530264 in words is "thirteen million, five hundred thirty thousand, two hundred sixty-four".