22020768 has 192 divisors, whose sum is σ = 80317440. Its totient is φ = 5702400.

The previous prime is 22020767. The next prime is 22020793. The reversal of 22020768 is 86702022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (22020767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66363 + ... + 66693.

It is an arithmetic number, because the mean of its divisors is an integer number (418320).

Almost surely, 2^22020768 is an apocalyptic number.

22020768 is a gapful number since it is divisible by the number (28) 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 22020768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40158720).

22020768 is an abundant number, since it is smaller than the sum of its proper divisors (58296672).

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

22020768 is a wasteful number, since it uses less digits than its factorization.

22020768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22020768 is about 4692.6291138337. The cubic root of 22020768 is about 280.2920761733.

The spelling of 22020768 in words is "twenty-two million, twenty thousand, seven hundred sixty-eight".