220834656 has 72 divisors (see below), whose sum is σ = 717719184. Its totient is φ = 63095040.

The previous prime is 220834639. The next prime is 220834667. The reversal of 220834656 is 656438022.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220834656.

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 11 ways as a sum of consecutive naturals, for example, 52755 + ... + 56786.

It is an arithmetic number, because the mean of its divisors is an integer number (9968322).

Almost surely, 2^220834656 is an apocalyptic number.

It is an amenable number.

220834656 is an abundant number, since it is smaller than the sum of its proper divisors (496884528).

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

220834656 is a wasteful number, since it uses less digits than its factorization.

220834656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109564 (or 109553 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 220834656 is about 14860.5065862507. The cubic root of 220834656 is about 604.4435436277.

It can be divided in two parts, 2208 and 34656, that added together give a square (36864 = 192²).

The spelling of 220834656 in words is "two hundred twenty million, eight hundred thirty-four thousand, six hundred fifty-six".