13486800 has 60 divisors (see below), whose sum is σ = 43206560. Its totient is φ = 3596160.

The previous prime is 13486799. The next prime is 13486813. The reversal of 13486800 is 868431.

It is a happy number.

13486800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a congruent number.

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, 4420 + ... + 6819.

Almost surely, 2^13486800 is an apocalyptic number.

13486800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13486800 is an abundant number, since it is smaller than the sum of its proper divisors (29719760).

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

13486800 is a wasteful number, since it uses less digits than its factorization.

13486800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11260 (or 11249 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13486800 is about 3672.4378823882. The cubic root of 13486800 is about 238.0325262139.

The spelling of 13486800 in words is "thirteen million, four hundred eighty-six thousand, eight hundred".