220956 has 12 divisors (see below), whose sum is σ = 515592. Its totient is φ = 73648.

The previous prime is 220939. The next prime is 220973. The reversal of 220956 is 659022.

It is an interprime number because it is at equal distance from previous prime (220939) and next prime (220973).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9195 + ... + 9218.

It is an arithmetic number, because the mean of its divisors is an integer number (42966).

2²²⁰⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

220956 is an abundant number, since it is smaller than the sum of its proper divisors (294636).

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

220956 is a wasteful number, since it uses less digits than its factorization.

220956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18420 (or 18418 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 220956 is about 470.0595706929. The cubic root of 220956 is about 60.4554233029.

Adding to 220956 its reverse (659022), we get a palindrome (879978).

It can be divided in two parts, 220 and 956, that added together give a triangular number (1176 = T₄₈).

The spelling of 220956 in words is "two hundred twenty thousand, nine hundred fifty-six".