220983680 has 128 divisors (see below), whose sum is σ = 589356000. Its totient is φ = 78741504.

The previous prime is 220983677. The next prime is 220983691. The reversal of 220983680 is 86389022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206186 + ... + 207254.

Almost surely, 2^220983680 is an apocalyptic number.

220983680 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 220983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294678000).

220983680 is an abundant number, since it is smaller than the sum of its proper divisors (368372320).

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

220983680 is a wasteful number, since it uses less digits than its factorization.

220983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 220983680 is about 14865.5198361847. The cubic root of 220983680 is about 604.5794769122.

The spelling of 220983680 in words is "two hundred twenty million, nine hundred eighty-three thousand, six hundred eighty".