13200080 has 20 divisors (see below), whose sum is σ = 30690372. Its totient is φ = 5280000.

The previous prime is 13200001. The next prime is 13200101. The reversal of 13200080 is 8000231.

It can be written as a sum of positive squares in 2 ways, for example, as 2598544 + 10601536 = 1612^2 + 3256^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×13200080² = 348484224012800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82421 + ... + 82580.

Almost surely, 2^13200080 is an apocalyptic number.

13200080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200080 is an abundant number, since it is smaller than the sum of its proper divisors (17490292).

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

13200080 is a wasteful number, since it uses less digits than its factorization.

13200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165014 (or 165008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 13200080 is about 3633.1914345380. The cubic root of 13200080 is about 236.3336275332. Note that the first 3 decimals are identical.

The spelling of 13200080 in words is "thirteen million, two hundred thousand, eighty".