220585940 has 12 divisors (see below), whose sum is σ = 463230516. Its totient is φ = 88234368.

The previous prime is 220585921. The next prime is 220585949. The reversal of 220585940 is 49585022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 175615504 + 44970436 = 13252^2 + 6706^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220585940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220585949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5514629 + ... + 5514668.

It is an arithmetic number, because the mean of its divisors is an integer number (38602543).

Almost surely, 2^220585940 is an apocalyptic number.

220585940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220585940 is an abundant number, since it is smaller than the sum of its proper divisors (242644576).

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

220585940 is a wasteful number, since it uses less digits than its factorization.

220585940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11029306 (or 11029304 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 220585940 is about 14852.1358733349. The cubic root of 220585940 is about 604.2165393207.

The spelling of 220585940 in words is "two hundred twenty million, five hundred eighty-five thousand, nine hundred forty".