20668200 has 288 divisors, whose sum is σ = 80575200. Its totient is φ = 4354560.

The previous prime is 20668189. The next prime is 20668201. The reversal of 20668200 is 286602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20668201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 558582 + ... + 558618.

It is an arithmetic number, because the mean of its divisors is an integer number (279775).

Almost surely, 2^20668200 is an apocalyptic number.

20668200 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 20668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40287600).

20668200 is an abundant number, since it is smaller than the sum of its proper divisors (59907000).

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

20668200 is a wasteful number, since it uses less digits than its factorization.

20668200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20668200 is about 4546.2292067163. The cubic root of 20668200 is about 274.4316637069.

The spelling of 20668200 in words is "twenty million, six hundred sixty-eight thousand, two hundred".