13008800 has 144 divisors (see below), whose sum is σ = 38247552. Its totient is φ = 4224000.

The previous prime is 13008781. The next prime is 13008811. The reversal of 13008800 is 880031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 128750 + ... + 128850.

It is an arithmetic number, because the mean of its divisors is an integer number (265608).

Almost surely, 2^13008800 is an apocalyptic number.

13008800 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 13008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776).

13008800 is an abundant number, since it is smaller than the sum of its proper divisors (25238752).

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

13008800 is a wasteful number, since it uses less digits than its factorization.

13008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 13008800 is about 3606.7714094464. The cubic root of 13008800 is about 235.1865125621.

Adding to 13008800 its reverse (880031), we get a palindrome (13888831).

The spelling of 13008800 in words is "thirteen million, eight thousand, eight hundred".