22884120 has 160 divisors (see below), whose sum is σ = 87991200. Its totient is φ = 5225472.

The previous prime is 22884101. The next prime is 22884133. The reversal of 22884120 is 2148822.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22176 + ... + 23184.

It is an arithmetic number, because the mean of its divisors is an integer number (549945).

Almost surely, 2^22884120 is an apocalyptic number.

22884120 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 22884120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43995600).

22884120 is an abundant number, since it is smaller than the sum of its proper divisors (65107080).

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

22884120 is a wasteful number, since it uses less digits than its factorization.

22884120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 22884120 is about 4783.7349424900. The cubic root of 22884120 is about 283.9082888425.

It can be divided in two parts, 228 and 84120, that added together give a palindrome (84348).

The spelling of 22884120 in words is "twenty-two million, eight hundred eighty-four thousand, one hundred twenty".