22605820 has 72 divisors (see below), whose sum is σ = 52230528. Its totient is φ = 8208000.

The previous prime is 22605811. The next prime is 22605823. The reversal of 22605820 is 2850622.

It is a super-2 number, since 2×22605820² = 1022046195744800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22605823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223770 + ... + 223870.

It is an arithmetic number, because the mean of its divisors is an integer number (725424).

Almost surely, 2^22605820 is an apocalyptic number.

22605820 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 22605820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26115264).

22605820 is an abundant number, since it is smaller than the sum of its proper divisors (29624708).

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

22605820 is a wasteful number, since it uses less digits than its factorization.

22605820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 22605820 is about 4754.5578132987. The cubic root of 22605820 is about 282.7526963380.

The spelling of 22605820 in words is "twenty-two million, six hundred five thousand, eight hundred twenty".