13022880 has 96 divisors (see below), whose sum is σ = 44198784. Its totient is φ = 3204096.

The previous prime is 13022879. The next prime is 13022881. The reversal of 13022880 is 8822031.

It is an interprime number because it is at equal distance from previous prime (13022879) and next prime (13022881).

It is a tau number, because it is divible by the number of its divisors (96).

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 13022880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022881) 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, 5197 + ... + 7283.

It is an arithmetic number, because the mean of its divisors is an integer number (460404).

Almost surely, 2^13022880 is an apocalyptic number.

13022880 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 13022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22099392).

13022880 is an abundant number, since it is smaller than the sum of its proper divisors (31175904).

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

13022880 is a wasteful number, since it uses less digits than its factorization.

13022880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2110 counting only the distinct ones).

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

The square root of 13022880 is about 3608.7227657441. The cubic root of 13022880 is about 235.2713328917.

Subtracting from 13022880 its sum of digits (24), we obtain a triangular number (13022856 = T₅₁₀₃).

The spelling of 13022880 in words is "thirteen million, twenty-two thousand, eight hundred eighty".