13202080 has 48 divisors (see below), whose sum is σ = 31517640. Its totient is φ = 5225472.

The previous prime is 13202051. The next prime is 13202107. The reversal of 13202080 is 8020231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12027024 + 1175056 = 3468^2 + 1084^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17062 + ... + 17818.

Almost surely, 2^13202080 is an apocalyptic number.

13202080 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 13202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15758820).

13202080 is an abundant number, since it is smaller than the sum of its proper divisors (18315560).

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

13202080 is a wasteful number, since it uses less digits than its factorization.

13202080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 13202080 is about 3633.4666642203. The cubic root of 13202080 is about 236.3455628999.

The spelling of 13202080 in words is "thirteen million, two hundred two thousand, eighty".