220705506 has 96 divisors (see below), whose sum is σ = 574560000. Its totient is φ = 62614944.

The previous prime is 220705483. The next prime is 220705531. The reversal of 220705506 is 605507022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220705506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632220 + ... + 632568.

It is an arithmetic number, because the mean of its divisors is an integer number (5985000).

Almost surely, 2^220705506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220705506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280000).

220705506 is an abundant number, since it is smaller than the sum of its proper divisors (353854494).

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

220705506 is a wasteful number, since it uses less digits than its factorization.

220705506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 220705506 is about 14856.1605403280. The cubic root of 220705506 is about 604.3256890784.

The spelling of 220705506 in words is "two hundred twenty million, seven hundred five thousand, five hundred six".