220527040 has 56 divisors (see below), whose sum is σ = 526420080. Its totient is φ = 87994368.

The previous prime is 220527037. The next prime is 220527089. The reversal of 220527040 is 40725022.

220527040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 218056 + ... + 219064.

Almost surely, 2^220527040 is an apocalyptic number.

220527040 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 220527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263210040).

220527040 is an abundant number, since it is smaller than the sum of its proper divisors (305893040).

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

220527040 is a wasteful number, since it uses less digits than its factorization.

220527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 220527040 is about 14850.1528611661. The cubic root of 220527040 is about 604.1627560164.

It can be divided in two parts, 22052 and 7040, that added together give a palindrome (29092).

The spelling of 220527040 in words is "two hundred twenty million, five hundred twenty-seven thousand, forty".