123664 has 20 divisors (see below), whose sum is σ = 245520. Its totient is φ = 60320.

The previous prime is 123661. The next prime is 123667. The reversal of 123664 is 466321.

It is an interprime number because it is at equal distance from previous prime (123661) and next prime (123667).

It is not an unprimeable number, because it can be changed into a prime (123661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 879 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2¹²³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

123664 is a deficient number, since it is larger than the sum of its proper divisors (121856).

123664 is a wasteful number, since it uses less digits than its factorization.

123664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 123664 is about 351.6589256652. The cubic root of 123664 is about 49.8212282416.

Adding to 123664 its reverse (466321), we get a palindrome (589985).

It can be divided in two parts, 123 and 664, that added together give a palindrome (787).

The spelling of 123664 in words is "one hundred twenty-three thousand, six hundred sixty-four".