13205088 has 72 divisors (see below), whose sum is σ = 40452048. Its totient is φ = 4061952.

The previous prime is 13205083. The next prime is 13205089. The reversal of 13205088 is 88050231.

It is a happy number.

13205088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1981 + ... + 5507.

It is an arithmetic number, because the mean of its divisors is an integer number (561834).

Almost surely, 2^13205088 is an apocalyptic number.

13205088 is a gapful number since it is divisible by the number (18) 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 13205088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20226024).

13205088 is an abundant number, since it is smaller than the sum of its proper divisors (27246960).

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

13205088 is a wasteful number, since it uses less digits than its factorization.

13205088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13205088 is about 3633.8805704095. The cubic root of 13205088 is about 236.3635114218.

The spelling of 13205088 in words is "thirteen million, two hundred five thousand, eighty-eight".