22880880 has 240 divisors, whose sum is σ = 87744384. Its totient is φ = 5495040.

The previous prime is 22880873. The next prime is 22880927. The reversal of 22880880 is 8808822.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 213787 + ... + 213893.

Almost surely, 2^22880880 is an apocalyptic number.

22880880 is a gapful number since it is divisible by the number (20) 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 22880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

22880880 is an abundant number, since it is smaller than the sum of its proper divisors (64863504).

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

22880880 is a wasteful number, since it uses less digits than its factorization.

22880880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 22880880 is about 4783.3962829772. The cubic root of 22880880 is about 283.8948893575.

It can be divided in two parts, 2 and 2880880, that added together give a palindrome (2880882).

The spelling of 22880880 in words is "twenty-two million, eight hundred eighty thousand, eight hundred eighty".