220964 has 12 divisors (see below), whose sum is σ = 397404. Its totient is φ = 107424.

The previous prime is 220939. The next prime is 220973. The reversal of 220964 is 469022.

It can be written as a sum of positive squares in 2 ways, for example, as 195364 + 25600 = 442^2 + 160^2 .

It is an unprimeable number.

220964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (33117).

2²²⁰⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

220964 is a deficient number, since it is larger than the sum of its proper divisors (176440).

220964 is a wasteful number, since it uses less digits than its factorization.

220964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 220964 is about 470.0680801756. The cubic root of 220964 is about 60.4561529166.

Adding to 220964 its reverse (469022), we get a palindrome (689986).

It can be divided in two parts, 2209 and 64, that multiplied together give a square (141376 = 376²).

The spelling of 220964 in words is "two hundred twenty thousand, nine hundred sixty-four".