22668820 has 48 divisors (see below), whose sum is σ = 51277968. Its totient is φ = 8386560.

The previous prime is 22668797. The next prime is 22668829. The reversal of 22668820 is 2886622.

It can be written as a sum of positive squares in 8 ways, for example, as 258064 + 22410756 = 508^2 + 4734^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22668829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20194 + ... + 21286.

It is an arithmetic number, because the mean of its divisors is an integer number (1068291).

Almost surely, 2^22668820 is an apocalyptic number.

22668820 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 22668820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25638984).

22668820 is an abundant number, since it is smaller than the sum of its proper divisors (28609148).

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

22668820 is a wasteful number, since it uses less digits than its factorization.

22668820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 22668820 is about 4761.1784255581. The cubic root of 22668820 is about 283.0151198704.

The spelling of 22668820 in words is "twenty-two million, six hundred sixty-eight thousand, eight hundred twenty".