13064016 has 80 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 3663744.

The previous prime is 13064011. The next prime is 13064021. The reversal of 13064016 is 61046031.

13064016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13064011) and next prime (13064021).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13063983 and 13064001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13064011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19495 + ... + 20153.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 2^13064016 is an apocalyptic number.

13064016 is a gapful number since it is divisible by the number (16) 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 13064016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

13064016 is an abundant number, since it is smaller than the sum of its proper divisors (26219184).

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

13064016 is a wasteful number, since it uses less digits than its factorization.

13064016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13064016 is about 3614.4177954409. The cubic root of 13064016 is about 235.5187934930.

It can be divided in two parts, 130 and 64016, that added together give a palindrome (64146).

The spelling of 13064016 in words is "thirteen million, sixty-four thousand, sixteen".