220528656 has 100 divisors (see below), whose sum is σ = 641691072. Its totient is φ = 73116864.

The previous prime is 220528619. The next prime is 220528657. The reversal of 220528656 is 656825022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220528656.

It is not an unprimeable number, because it can be changed into a prime (220528657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 340525 + ... + 341171.

Almost surely, 2^220528656 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 220528656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320845536).

220528656 is an abundant number, since it is smaller than the sum of its proper divisors (421162416).

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

220528656 is a wasteful number, since it uses less digits than its factorization.

220528656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 220528656 is about 14850.2072712808. The cubic root of 220528656 is about 604.1642317608.

The spelling of 220528656 in words is "two hundred twenty million, five hundred twenty-eight thousand, six hundred fifty-six".