220566360 has 128 divisors (see below), whose sum is σ = 764305920. Its totient is φ = 49876992.

The previous prime is 220566349. The next prime is 220566371. The reversal of 220566360 is 63665022.

It is an interprime number because it is at equal distance from previous prime (220566349) and next prime (220566371).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80127 + ... + 82833.

It is an arithmetic number, because the mean of its divisors is an integer number (5971140).

Almost surely, 2^220566360 is an apocalyptic number.

220566360 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 220566360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382152960).

220566360 is an abundant number, since it is smaller than the sum of its proper divisors (543739560).

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

220566360 is a wasteful number, since it uses less digits than its factorization.

220566360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 220566360 is about 14851.4766942550. The cubic root of 220566360 is about 604.1986613153.

It can be divided in two parts, 220 and 566360, that added together give a triangular number (566580 = T₁₀₆₄).

The spelling of 220566360 in words is "two hundred twenty million, five hundred sixty-six thousand, three hundred sixty".