13202880 has 112 divisors (see below), whose sum is σ = 44439840. Its totient is φ = 3309568.

The previous prime is 13202867. The next prime is 13202881. The reversal of 13202880 is 8820231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13202880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15916 + ... + 16724.

Almost surely, 2^13202880 is an apocalyptic number.

13202880 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 13202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219920).

13202880 is an abundant number, since it is smaller than the sum of its proper divisors (31236960).

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

13202880 is a wasteful number, since it uses less digits than its factorization.

13202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 13202880 is about 3633.5767502559. The cubic root of 13202880 is about 236.3503367091.

The spelling of 13202880 in words is "thirteen million, two hundred two thousand, eight hundred eighty".