13668600 has 192 divisors, whose sum is σ = 49104000. Its totient is φ = 3110400.

The previous prime is 13668583. The next prime is 13668631. The reversal of 13668600 is 686631.

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 47 ways as a sum of consecutive naturals, for example, 125346 + ... + 125454.

It is an arithmetic number, because the mean of its divisors is an integer number (255750).

Almost surely, 2^13668600 is an apocalyptic number.

13668600 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 13668600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552000).

13668600 is an abundant number, since it is smaller than the sum of its proper divisors (35435400).

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

13668600 is a wasteful number, since it uses less digits than its factorization.

13668600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13668600 is about 3697.1069770836. The cubic root of 13668600 is about 239.0973034468.

The spelling of 13668600 in words is "thirteen million, six hundred sixty-eight thousand, six hundred".