220566240 has 336 divisors, whose sum is σ = 819697536. Its totient is φ = 55987200.

The previous prime is 220566239. The next prime is 220566259. The reversal of 220566240 is 42665022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3615810 + ... + 3615870.

It is an arithmetic number, because the mean of its divisors is an integer number (2439576).

Almost surely, 2^220566240 is an apocalyptic number.

220566240 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 220566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409848768).

220566240 is an abundant number, since it is smaller than the sum of its proper divisors (599131296).

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

220566240 is an equidigital number, since it uses as much as digits as its factorization.

220566240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 220566240 is about 14851.4726542522. The cubic root of 220566240 is about 604.1985517430.

The spelling of 220566240 in words is "two hundred twenty million, five hundred sixty-six thousand, two hundred forty".