13085200 has 30 divisors (see below), whose sum is σ = 31438154. Its totient is φ = 5233920.

The previous prime is 13085179. The next prime is 13085209. The reversal of 13085200 is 258031.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 891136 + 12194064 = 944^2 + 3492^2 .

It is not an unprimeable number, because it can be changed into a prime (13085209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15957 + ... + 16756.

Almost surely, 2^13085200 is an apocalyptic number.

13085200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13085200 is an abundant number, since it is smaller than the sum of its proper divisors (18352954).

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

13085200 is a wasteful number, since it uses less digits than its factorization.

13085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32731 (or 32720 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 13085200 is about 3617.3470942114. The cubic root of 13085200 is about 235.6460268486.

The spelling of 13085200 in words is "thirteen million, eighty-five thousand, two hundred".