220610880 has 336 divisors, whose sum is σ = 897721344. Its totient is φ = 48660480.

The previous prime is 220610879. The next prime is 220610893. The reversal of 220610880 is 88016022.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624784 + ... + 625136.

Almost surely, 2^220610880 is an apocalyptic number.

220610880 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 220610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448860672).

220610880 is an abundant number, since it is smaller than the sum of its proper divisors (677110464).

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

220610880 is a wasteful number, since it uses less digits than its factorization.

220610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 220610880 is about 14852.9754594829. The cubic root of 220610880 is about 604.2393098754.

The spelling of 220610880 in words is "two hundred twenty million, six hundred ten thousand, eight hundred eighty".