220997760 has 256 divisors, whose sum is σ = 752025600. Its totient is φ = 55111680.

The previous prime is 220997747. The next prime is 220997767. The reversal of 220997760 is 67799022.

It is not an unprimeable number, because it can be changed into a prime (220997767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2797401 + ... + 2797479.

It is an arithmetic number, because the mean of its divisors is an integer number (2937600).

Almost surely, 2^220997760 is an apocalyptic number.

220997760 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 220997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376012800).

220997760 is an abundant number, since it is smaller than the sum of its proper divisors (531027840).

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

220997760 is a wasteful number, since it uses less digits than its factorization.

220997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 220997760 is about 14865.9934077747. The cubic root of 220997760 is about 604.5923169226.

The spelling of 220997760 in words is "two hundred twenty million, nine hundred ninety-seven thousand, seven hundred sixty".