123864 has 32 divisors (see below), whose sum is σ = 334320. Its totient is φ = 38016.

The previous prime is 123863. The next prime is 123887. The reversal of 123864 is 468321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 510.

2¹²³⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167160).

123864 is an abundant number, since it is smaller than the sum of its proper divisors (210456).

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

123864 is a wasteful number, since it uses less digits than its factorization.

123864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

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

The square root of 123864 is about 351.9431772318. The cubic root of 123864 is about 49.8480721595.

The spelling of 123864 in words is "one hundred twenty-three thousand, eight hundred sixty-four".