22688 has 12 divisors (see below), whose sum is σ = 44730. Its totient is φ = 11328.

The previous prime is 22679. The next prime is 22691. The reversal of 22688 is 88622.

It can be written as a sum of positive squares in only one way, i.e., 21904 + 784 = 148^2 + 28^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 10 and base 12.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 323 + ... + 386.

2²²⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

22688 is a deficient number, since it is larger than the sum of its proper divisors (22042).

22688 is an equidigital number, since it uses as much as digits as its factorization.

22688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 22688 is about 150.6253630701. The cubic root of 22688 is about 28.3094916698.

The spelling of 22688 in words is "twenty-two thousand, six hundred eighty-eight".