220566528 has 264 divisors, whose sum is σ = 786834048. Its totient is φ = 57950208.

The previous prime is 220566473. The next prime is 220566557. The reversal of 220566528 is 825665022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220566492 and 220566501.

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, 838525 + ... + 838787.

It is an arithmetic number, because the mean of its divisors is an integer number (2980432).

Almost surely, 2^220566528 is an apocalyptic number.

220566528 is a gapful number since it is divisible by the number (28) 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 220566528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393417024).

220566528 is an abundant number, since it is smaller than the sum of its proper divisors (566267520).

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

220566528 is a wasteful number, since it uses less digits than its factorization.

220566528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

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

The square root of 220566528 is about 14851.4823502572. The cubic root of 220566528 is about 604.1988147164.

The spelling of 220566528 in words is "two hundred twenty million, five hundred sixty-six thousand, five hundred twenty-eight".