220068800 has 168 divisors, whose sum is σ = 633069600. Its totient is φ = 75264000.

The previous prime is 220068769. The next prime is 220068809. The reversal of 220068800 is 8860022.

It is a self number, because there is not a number n which added to its sum of digits gives 220068800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220068809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548600 + ... + 549000.

Almost surely, 2^220068800 is an apocalyptic number.

220068800 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 220068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316534800).

220068800 is an abundant number, since it is smaller than the sum of its proper divisors (413000800).

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

220068800 is an equidigital number, since it uses as much as digits as its factorization.

220068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 415 counting only the distinct ones).

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

The square root of 220068800 is about 14834.7160404236. The cubic root of 220068800 is about 603.7439962996.

The spelling of 220068800 in words is "two hundred twenty million, sixty-eight thousand, eight hundred".