13064832 has 96 divisors (see below), whose sum is σ = 41052960. Its totient is φ = 3955200.

The previous prime is 13064827. The next prime is 13064867. The reversal of 13064832 is 23846031.

It is a happy number.

13064832 is a `hidden beast` number, since 13 + 0 + 648 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13064796 and 13064805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12157 + ... + 13187.

It is an arithmetic number, because the mean of its divisors is an integer number (427635).

Almost surely, 2^13064832 is an apocalyptic number.

13064832 is a gapful number since it is divisible by the number (12) 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 13064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20526480).

13064832 is an abundant number, since it is smaller than the sum of its proper divisors (27988128).

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

13064832 is a wasteful number, since it uses less digits than its factorization.

13064832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1047 counting only the distinct ones).

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

The square root of 13064832 is about 3614.5306749286. The cubic root of 13064832 is about 235.5236970218.

The spelling of 13064832 in words is "thirteen million, sixty-four thousand, eight hundred thirty-two".