220689168 has 80 divisors (see below), whose sum is σ = 653827200. Its totient is φ = 62834688.

The previous prime is 220689149. The next prime is 220689187. The reversal of 220689168 is 861986022.

It is an interprime number because it is at equal distance from previous prime (220689149) and next prime (220689187).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 112258 + ... + 114206.

It is an arithmetic number, because the mean of its divisors is an integer number (8172840).

Almost surely, 2^220689168 is an apocalyptic number.

220689168 is a gapful number since it is divisible by the number (28) 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 220689168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326913600).

220689168 is an abundant number, since it is smaller than the sum of its proper divisors (433138032).

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

220689168 is a wasteful number, since it uses less digits than its factorization.

220689168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 220689168 is about 14855.6106572567. The cubic root of 220689168 is about 604.3107767231.

The spelling of 220689168 in words is "two hundred twenty million, six hundred eighty-nine thousand, one hundred sixty-eight".