22085920 has 48 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 8780544.

The previous prime is 22085897. The next prime is 22085933. The reversal of 22085920 is 2958022.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35371 + ... + 35989.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^22085920 is an apocalyptic number.

22085920 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 22085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

22085920 is an abundant number, since it is smaller than the sum of its proper divisors (30410720).

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

22085920 is a wasteful number, since it uses less digits than its factorization.

22085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 22085920 is about 4699.5659374032. The cubic root of 22085920 is about 280.5682337977.

It can be divided in two parts, 22085 and 920, that added together give a triangular number (23005 = T₂₁₄).

The spelling of 22085920 in words is "twenty-two million, eighty-five thousand, nine hundred twenty".