22887120 has 80 divisors (see below), whose sum is σ = 72495360. Its totient is φ = 5970432.

The previous prime is 22887113. The next prime is 22887121. The reversal of 22887120 is 2178822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22887121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10266 + ... + 12294.

It is an arithmetic number, because the mean of its divisors is an integer number (906192).

Almost surely, 2^22887120 is an apocalyptic number.

22887120 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 22887120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247680).

22887120 is an abundant number, since it is smaller than the sum of its proper divisors (49608240).

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

22887120 is a wasteful number, since it uses less digits than its factorization.

22887120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 22887120 is about 4784.0484947375. The cubic root of 22887120 is about 283.9206946455.

The spelling of 22887120 in words is "twenty-two million, eight hundred eighty-seven thousand, one hundred twenty".