220881600 has 168 divisors, whose sum is σ = 805352720. Its totient is φ = 58890240.

The previous prime is 220881599. The next prime is 220881607. The reversal of 220881600 is 6188022.

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

It is not an unprimeable number, because it can be changed into a prime (220881607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40644 + ... + 45756.

Almost surely, 2^220881600 is an apocalyptic number.

220881600 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 220881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402676360).

220881600 is an abundant number, since it is smaller than the sum of its proper divisors (584471120).

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

220881600 is a wasteful number, since it uses less digits than its factorization.

220881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 220881600 is about 14862.0859908695. The cubic root of 220881600 is about 604.4863705219.

The spelling of 220881600 in words is "two hundred twenty million, eight hundred eighty-one thousand, six hundred".