123789168 has 160 divisors (see below), whose sum is σ = 378100800. Its totient is φ = 38707200.

The previous prime is 123789143. The next prime is 123789173. The reversal of 123789168 is 861987321.

It is a super-2 number, since 2×123789168² = 30647516228264448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513528 + ... + 513768.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 2^123789168 is an apocalyptic number.

123789168 is a gapful number since it is divisible by the number (18) 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 123789168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

123789168 is an abundant number, since it is smaller than the sum of its proper divisors (254311632).

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

123789168 is a wasteful number, since it uses less digits than its factorization.

123789168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 123789168 is about 11126.0580620452. The cubic root of 123789168 is about 498.3803162478.

The spelling of 123789168 in words is "one hundred twenty-three million, seven hundred eighty-nine thousand, one hundred sixty-eight".