13289600 has 48 divisors (see below), whose sum is σ = 32837370. Its totient is φ = 5314560.

The previous prime is 13289599. The next prime is 13289609. The reversal of 13289600 is 698231.

It can be written as a sum of positive squares in 3 ways, for example, as 5494336 + 7795264 = 2344^2 + 2792^2 .

It is a super-2 number, since 2×13289600² = 353226936320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13289609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1124 + ... + 5276.

Almost surely, 2^13289600 is an apocalyptic number.

13289600 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 13289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418685).

13289600 is an abundant number, since it is smaller than the sum of its proper divisors (19547770).

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

13289600 is an equidigital number, since it uses as much as digits as its factorization.

13289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 13289600 is about 3645.4903648206. The cubic root of 13289600 is about 236.8666783254.

The spelling of 13289600 in words is "thirteen million, two hundred eighty-nine thousand, six hundred".