22085820 has 72 divisors (see below), whose sum is σ = 69320160. Its totient is φ = 5685120.

The previous prime is 22085807. The next prime is 22085821. The reversal of 22085820 is 2858022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22085821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3105 + ... + 7335.

It is an arithmetic number, because the mean of its divisors is an integer number (962780).

Almost surely, 2^22085820 is an apocalyptic number.

22085820 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 22085820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34660080).

22085820 is an abundant number, since it is smaller than the sum of its proper divisors (47234340).

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

22085820 is a wasteful number, since it uses less digits than its factorization.

22085820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22085820 is about 4699.5552981107. Note that the first 3 decimals coincide. The cubic root of 22085820 is about 280.5678103474.

The spelling of 22085820 in words is "twenty-two million, eighty-five thousand, eight hundred twenty".