13485800 has 24 divisors (see below), whose sum is σ = 31354950. Its totient is φ = 5394240.

The previous prime is 13485793. The next prime is 13485803. The reversal of 13485800 is 858431.

It can be written as a sum of positive squares in 3 ways, for example, as 5317636 + 8168164 = 2306^2 + 2858^2 .

It is not an unprimeable number, because it can be changed into a prime (13485803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33515 + ... + 33914.

Almost surely, 2^13485800 is an apocalyptic number.

13485800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13485800 is an abundant number, since it is smaller than the sum of its proper divisors (17869150).

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

13485800 is a wasteful number, since it uses less digits than its factorization.

13485800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67445 (or 67436 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 13485800 is about 3672.3017305227. The cubic root of 13485800 is about 238.0266429698.

The spelling of 13485800 in words is "thirteen million, four hundred eighty-five thousand, eight hundred".