13059200 has 192 divisors, whose sum is σ = 40979520. Its totient is φ = 3993600.

The previous prime is 13059169. The next prime is 13059217. The reversal of 13059200 is 295031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246374 + ... + 246426.

It is an arithmetic number, because the mean of its divisors is an integer number (213435).

Almost surely, 2^13059200 is an apocalyptic number.

13059200 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 13059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489760).

13059200 is an abundant number, since it is smaller than the sum of its proper divisors (27920320).

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

13059200 is a wasteful number, since it uses less digits than its factorization.

13059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 13059200 is about 3613.7515133169. The cubic root of 13059200 is about 235.4898488990.

The spelling of 13059200 in words is "thirteen million, fifty-nine thousand, two hundred".