22026880 has 64 divisors (see below), whose sum is σ = 53268480. Its totient is φ = 8709120.

The previous prime is 22026869. The next prime is 22026889. The reversal of 22026880 is 8862022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (22026889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81145 + ... + 81415.

It is an arithmetic number, because the mean of its divisors is an integer number (832320).

Almost surely, 2^22026880 is an apocalyptic number.

22026880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22026880 is the 2710-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26634240).

22026880 is an abundant number, since it is smaller than the sum of its proper divisors (31241600).

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

22026880 is a wasteful number, since it uses less digits than its factorization.

22026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 22026880 is about 4693.2803027307. The cubic root of 22026880 is about 280.3180060393.

It can be divided in two parts, 2202 and 6880, that multiplied together give a triangular number (15149760 = T₅₅₀₄).

The spelling of 22026880 in words is "twenty-two million, twenty-six thousand, eight hundred eighty".