13066200 has 288 divisors, whose sum is σ = 53969760. Its totient is φ = 2764800.

The previous prime is 13066177. The next prime is 13066223. The reversal of 13066200 is 266031.

It is a happy number.

13066200 is a `hidden beast` number, since 1 + 3 + 0 + 662 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13066177) and next prime (13066223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 214170 + ... + 214230.

It is an arithmetic number, because the mean of its divisors is an integer number (187395).

Almost surely, 2^13066200 is an apocalyptic number.

13066200 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 13066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26984880).

13066200 is an abundant number, since it is smaller than the sum of its proper divisors (40903560).

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

13066200 is a wasteful number, since it uses less digits than its factorization.

13066200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13066200 is about 3614.7199061615. The cubic root of 13066200 is about 235.5319171854.

The spelling of 13066200 in words is "thirteen million, sixty-six thousand, two hundred".