123384960 has 192 divisors, whose sum is σ = 440444160. Its totient is φ = 31795200.

The previous prime is 123384953. The next prime is 123384967. The reversal of 123384960 is 69483321.

It is an interprime number because it is at equal distance from previous prime (123384953) and next prime (123384967).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123384967) 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, 178215 + ... + 178905.

It is an arithmetic number, because the mean of its divisors is an integer number (2293980).

Almost surely, 2^123384960 is an apocalyptic number.

123384960 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 123384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220222080).

123384960 is an abundant number, since it is smaller than the sum of its proper divisors (317059200).

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

123384960 is a wasteful number, since it uses less digits than its factorization.

123384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 123384960 is about 11107.8782852532. The cubic root of 123384960 is about 497.8372720367.

The spelling of 123384960 in words is "one hundred twenty-three million, three hundred eighty-four thousand, nine hundred sixty".