220969128 has 64 divisors (see below), whose sum is σ = 586872000. Its totient is φ = 69092352.

The previous prime is 220969087. The next prime is 220969171. The reversal of 220969128 is 821969022.

220969128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153918 + ... + 155346.

It is an arithmetic number, because the mean of its divisors is an integer number (9169875).

Almost surely, 2^220969128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220969128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293436000).

220969128 is an abundant number, since it is smaller than the sum of its proper divisors (365902872).

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

220969128 is a wasteful number, since it uses less digits than its factorization.

220969128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 220969128 is about 14865.0303733292. The cubic root of 220969128 is about 604.5662058965.

The spelling of 220969128 in words is "two hundred twenty million, nine hundred sixty-nine thousand, one hundred twenty-eight".