220007580 has 96 divisors (see below), whose sum is σ = 667732800. Its totient is φ = 54123264.

The previous prime is 220007573. The next prime is 220007597. The reversal of 220007580 is 85700022.

It is a self number, because there is not a number n which added to its sum of digits gives 220007580.

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, 130986 + ... + 132654.

It is an arithmetic number, because the mean of its divisors is an integer number (6955550).

Almost surely, 2^220007580 is an apocalyptic number.

220007580 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 220007580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333866400).

220007580 is an abundant number, since it is smaller than the sum of its proper divisors (447725220).

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

220007580 is a wasteful number, since it uses less digits than its factorization.

220007580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 220007580 is about 14832.6524937383. The cubic root of 220007580 is about 603.6880067858.

The spelling of 220007580 in words is "two hundred twenty million, seven thousand, five hundred eighty".