220716640 has 96 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 85569024.

The previous prime is 220716611. The next prime is 220716641. The reversal of 220716640 is 46617022.

220716640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220716599 and 220716608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220716641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972207 + ... + 972433.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^220716640 is an apocalyptic number.

220716640 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 220716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

220716640 is an abundant number, since it is smaller than the sum of its proper divisors (317071520).

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

220716640 is a wasteful number, since it uses less digits than its factorization.

220716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 220716640 is about 14856.5352623012. The cubic root of 220716640 is about 604.3358511102.

The spelling of 220716640 in words is "two hundred twenty million, seven hundred sixteen thousand, six hundred forty".