13322880 has 160 divisors (see below), whose sum is σ = 47763540. Its totient is φ = 3538944.

The previous prime is 13322873. The next prime is 13322887. The reversal of 13322880 is 8822331.

It is an interprime number because it is at equal distance from previous prime (13322873) and next prime (13322887).

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 876096 = 3528^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13322887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51712 + ... + 51968.

Almost surely, 2^13322880 is an apocalyptic number.

13322880 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 13322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23881770).

13322880 is an abundant number, since it is smaller than the sum of its proper divisors (34440660).

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

13322880 is an equidigital number, since it uses as much as digits as its factorization.

13322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13322880 is about 3650.0520544233. The cubic root of 13322880 is about 237.0642351121.

The spelling of 13322880 in words is "thirteen million, three hundred twenty-two thousand, eight hundred eighty".