22809920 has 112 divisors (see below), whose sum is σ = 65836800. Its totient is φ = 7348224.

The previous prime is 22809911. The next prime is 22809923. The reversal of 22809920 is 2990822.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22809923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37781 + ... + 38379.

Almost surely, 2^22809920 is an apocalyptic number.

22809920 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 22809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32918400).

22809920 is an abundant number, since it is smaller than the sum of its proper divisors (43026880).

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

22809920 is a wasteful number, since it uses less digits than its factorization.

22809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 22809920 is about 4775.9731992548. The cubic root of 22809920 is about 283.6011063302.

The spelling of 22809920 in words is "twenty-two million, eight hundred nine thousand, nine hundred twenty".