123844320 has 144 divisors (see below), whose sum is σ = 447567120. Its totient is φ = 31076352.

The previous prime is 123844283. The next prime is 123844321. The reversal of 123844320 is 23448321.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123844321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21951 + ... + 27009.

It is an arithmetic number, because the mean of its divisors is an integer number (3108105).

Almost surely, 2^123844320 is an apocalyptic number.

123844320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123844320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223783560).

123844320 is an abundant number, since it is smaller than the sum of its proper divisors (323722800).

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

123844320 is a wasteful number, since it uses less digits than its factorization.

123844320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 123844320 is about 11128.5362918939. The cubic root of 123844320 is about 498.4543200038.

The spelling of 123844320 in words is "one hundred twenty-three million, eight hundred forty-four thousand, three hundred twenty".