123696000 has 192 divisors, whose sum is σ = 444740400. Its totient is φ = 32947200.

The previous prime is 123695989. The next prime is 123696031. The reversal of 123696000 is 696321.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143571 + ... + 144429.

Almost surely, 2^123696000 is an apocalyptic number.

123696000 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 123696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222370200).

123696000 is an abundant number, since it is smaller than the sum of its proper divisors (321044400).

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

123696000 is an equidigital number, since it uses as much as digits as its factorization.

123696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 123696000 is about 11121.8703463042. The cubic root of 123696000 is about 498.2552521247.

The spelling of 123696000 in words is "one hundred twenty-three million, six hundred ninety-six thousand".