123684 has 24 divisors (see below), whose sum is σ = 315168. Its totient is φ = 37440.

The previous prime is 123677. The next prime is 123701. The reversal of 123684 is 486321.

It is a happy number.

It is a d-powerful number, because it can be written as 1 + 2¹³ + 6⁶ + 3⁹ + 8⁵ + 4⁷ .

It is an unprimeable number.

123684 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 7 ways as a sum of consecutive naturals, for example, 337 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (13132).

2¹²³⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

123684 is an abundant number, since it is smaller than the sum of its proper divisors (191484).

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

123684 is a wasteful number, since it uses less digits than its factorization.

123684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 953 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 123684 is about 351.6873611604. The cubic root of 123684 is about 49.8239139353.

The spelling of 123684 in words is "one hundred twenty-three thousand, six hundred eighty-four".