13529264 has 40 divisors (see below), whose sum is σ = 30251040. Its totient is φ = 5741568.

The previous prime is 13529239. The next prime is 13529281. The reversal of 13529264 is 46292531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13529264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12122 + ... + 13190.

It is an arithmetic number, because the mean of its divisors is an integer number (756276).

Almost surely, 2^13529264 is an apocalyptic number.

13529264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13529264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125520).

13529264 is an abundant number, since it is smaller than the sum of its proper divisors (16721776).

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

13529264 is a wasteful number, since it uses less digits than its factorization.

13529264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 13529264 is about 3678.2147843757. The cubic root of 13529264 is about 238.2820843834.

The spelling of 13529264 in words is "thirteen million, five hundred twenty-nine thousand, two hundred sixty-four".