220551760 has 120 divisors (see below), whose sum is σ = 606148704. Its totient is φ = 73981440.

The previous prime is 220551743. The next prime is 220551809. The reversal of 220551760 is 67155022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147979 + ... + 149461.

Almost surely, 2^220551760 is an apocalyptic number.

220551760 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 220551760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303074352).

220551760 is an abundant number, since it is smaller than the sum of its proper divisors (385596944).

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

220551760 is a wasteful number, since it uses less digits than its factorization.

220551760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 220551760 is about 14850.9851525076. The cubic root of 220551760 is about 604.1853297340.

The spelling of 220551760 in words is "two hundred twenty million, five hundred fifty-one thousand, seven hundred sixty".