13066800 has 60 divisors (see below), whose sum is σ = 41861160. Its totient is φ = 3484160.

The previous prime is 13066793. The next prime is 13066817. The reversal of 13066800 is 866031.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4245 + ... + 6644.

It is an arithmetic number, because the mean of its divisors is an integer number (697686).

Almost surely, 2^13066800 is an apocalyptic number.

13066800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13066800 is an abundant number, since it is smaller than the sum of its proper divisors (28794360).

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

13066800 is a wasteful number, since it uses less digits than its factorization.

13066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10899 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13066800 is about 3614.8028991910. The cubic root of 13066800 is about 235.5355223394.

The spelling of 13066800 in words is "thirteen million, sixty-six thousand, eight hundred".