220705520 has 80 divisors (see below), whose sum is σ = 617341440. Its totient is φ = 71684352.

The previous prime is 220705483. The next prime is 220705531. The reversal of 220705520 is 25507022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269 + ... + 21011.

It is an arithmetic number, because the mean of its divisors is an integer number (7716768).

Almost surely, 2^220705520 is an apocalyptic number.

220705520 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 220705520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308670720).

220705520 is an abundant number, since it is smaller than the sum of its proper divisors (396635920).

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

220705520 is a wasteful number, since it uses less digits than its factorization.

220705520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20782 (or 20776 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 220705520 is about 14856.1610115130. The cubic root of 220705520 is about 604.3257018565.

The spelling of 220705520 in words is "two hundred twenty million, seven hundred five thousand, five hundred twenty".