13064200 has 48 divisors (see below), whose sum is σ = 30779280. Its totient is φ = 5156160.

The previous prime is 13064189. The next prime is 13064231. The reversal of 13064200 is 246031.

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, 16207 + ... + 16993.

It is an arithmetic number, because the mean of its divisors is an integer number (641235).

Almost surely, 2^13064200 is an apocalyptic number.

13064200 is a gapful number since it is divisible by the number (10) 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 13064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15389640).

13064200 is an abundant number, since it is smaller than the sum of its proper divisors (17715080).

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

13064200 is a wasteful number, since it uses less digits than its factorization.

13064200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13064200 is about 3614.4432489666. The cubic root of 13064200 is about 235.5198992085.

The spelling of 13064200 in words is "thirteen million, sixty-four thousand, two hundred".