13222880 has 72 divisors (see below), whose sum is σ = 34387416. Its totient is φ = 4801280.

The previous prime is 13222877. The next prime is 13222883. The reversal of 13222880 is 8822231.

It is an interprime number because it is at equal distance from previous prime (13222877) and next prime (13222883).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222883) 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 11 ways as a sum of consecutive naturals, for example, 19019 + ... + 19701.

It is an arithmetic number, because the mean of its divisors is an integer number (477603).

Almost surely, 2^13222880 is an apocalyptic number.

13222880 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 13222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193708).

13222880 is an abundant number, since it is smaller than the sum of its proper divisors (21164536).

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

13222880 is a wasteful number, since it uses less digits than its factorization.

13222880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13222880 is about 3636.3278180054. The cubic root of 13222880 is about 236.4696193172.

The spelling of 13222880 in words is "thirteen million, two hundred twenty-two thousand, eight hundred eighty".