13680900 has 108 divisors (see below), whose sum is σ = 44549232. Its totient is φ = 3641760.

The previous prime is 13680899. The next prime is 13680907. The reversal of 13680900 is 908631.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13680907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24019 + ... + 24581.

Almost surely, 2^13680900 is an apocalyptic number.

13680900 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 13680900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22274616).

13680900 is an abundant number, since it is smaller than the sum of its proper divisors (30868332).

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

13680900 is a wasteful number, since it uses less digits than its factorization.

13680900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13680900 is about 3698.7700658462. The cubic root of 13680900 is about 239.1690009903.

The spelling of 13680900 in words is "thirteen million, six hundred eighty thousand, nine hundred".