22068800 has 84 divisors (see below), whose sum is σ = 58535316. Its totient is φ = 8140800.

The previous prime is 22068793. The next prime is 22068881. The reversal of 22068800 is 886022.

It can be written as a sum of positive squares in 6 ways, for example, as 1420864 + 20647936 = 1192^2 + 4544^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 22068800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20270 + ... + 21330.

It is an arithmetic number, because the mean of its divisors is an integer number (696849).

Almost surely, 2^22068800 is an apocalyptic number.

22068800 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 22068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29267658).

22068800 is an abundant number, since it is smaller than the sum of its proper divisors (36466516).

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

22068800 is a wasteful number, since it uses less digits than its factorization.

22068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 22068800 is about 4697.7441394780. The cubic root of 22068800 is about 280.4957204830.

The spelling of 22068800 in words is "twenty-two million, sixty-eight thousand, eight hundred".