220071680 has 72 divisors (see below), whose sum is σ = 554946000. Its totient is φ = 83386368.

The previous prime is 220071653. The next prime is 220071689. The reversal of 220071680 is 86170022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220071689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19796 + ... + 28844.

Almost surely, 2^220071680 is an apocalyptic number.

220071680 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 220071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277473000).

220071680 is an abundant number, since it is smaller than the sum of its proper divisors (334874320).

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

220071680 is an equidigital number, since it uses as much as digits as its factorization.

220071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9089 (or 9075 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 220071680 is about 14834.8131097092. The cubic root of 220071680 is about 603.7466299837.

The spelling of 220071680 in words is "two hundred twenty million, seventy-one thousand, six hundred eighty".