13089600 has 210 divisors, whose sum is σ = 48590454. Its totient is φ = 3456000.

The previous prime is 13089577. The next prime is 13089607. The reversal of 13089600 is 698031.

13089600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3504384 + 9585216 = 1872^2 + 3096^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13089607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129550 + ... + 129650.

Almost surely, 2^13089600 is an apocalyptic number.

13089600 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 13089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24295227).

13089600 is an abundant number, since it is smaller than the sum of its proper divisors (35500854).

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

13089600 is a wasteful number, since it uses less digits than its factorization.

13089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

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

The square root of 13089600 is about 3617.9552236035. The cubic root of 13089600 is about 235.6724364902.

It can be divided in two parts, 13089 and 600, that added together give a square (13689 = 117²).

The spelling of 13089600 in words is "thirteen million, eighty-nine thousand, six hundred".