22985820 has 288 divisors, whose sum is σ = 88058880. Its totient is φ = 4769280.

The previous prime is 22985813. The next prime is 22985821. The reversal of 22985820 is 2858922.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22985821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489037 + ... + 489083.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 2^22985820 is an apocalyptic number.

22985820 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 22985820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

22985820 is an abundant number, since it is smaller than the sum of its proper divisors (65073060).

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

22985820 is a wasteful number, since it uses less digits than its factorization.

22985820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 22985820 is about 4794.3529281854. The cubic root of 22985820 is about 284.3282424433.

It can be divided in two parts, 2298 and 5820, that added together give a palindrome (8118).

The spelling of 22985820 in words is "twenty-two million, nine hundred eighty-five thousand, eight hundred twenty".