13168800 has 216 divisors, whose sum is σ = 48746880. Its totient is φ = 3340800.

The previous prime is 13168777. The next prime is 13168801. The reversal of 13168800 is 886131.

It is not an unprimeable number, because it can be changed into a prime (13168801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223171 + ... + 223229.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^13168800 is an apocalyptic number.

13168800 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 13168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

13168800 is an abundant number, since it is smaller than the sum of its proper divisors (35578080).

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

13168800 is a wasteful number, since it uses less digits than its factorization.

13168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 13168800 is about 3628.8841260090. The cubic root of 13168800 is about 236.1468013202.

The spelling of 13168800 in words is "thirteen million, one hundred sixty-eight thousand, eight hundred".