13352880 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3266560.

The previous prime is 13352869. The next prime is 13352881. The reversal of 13352880 is 8825331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13352881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226291 + ... + 226349.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^13352880 is an apocalyptic number.

13352880 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 13352880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13352880 is an abundant number, since it is smaller than the sum of its proper divisors (31644240).

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

13352880 is a wasteful number, since it uses less digits than its factorization.

13352880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 13352880 is about 3654.1592740328. The cubic root of 13352880 is about 237.2420394005.

13352880 divided by its sum of digits (30) gives a triangular number (445096 = T₉₄₃).

The spelling of 13352880 in words is "thirteen million, three hundred fifty-two thousand, eight hundred eighty".