123876096 has 72 divisors (see below), whose sum is σ = 333163824. Its totient is φ = 40857600.

The previous prime is 123876083. The next prime is 123876097. The reversal of 123876096 is 690678321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123876097) 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, 76770 + ... + 78366.

Almost surely, 2^123876096 is an apocalyptic number.

123876096 is a gapful number since it is divisible by the number (16) 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 123876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166581912).

123876096 is an abundant number, since it is smaller than the sum of its proper divisors (209287728).

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

123876096 is a wasteful number, since it uses less digits than its factorization.

123876096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 123876096 is about 11129.9638813430. The cubic root of 123876096 is about 498.4969475274.

The spelling of 123876096 in words is "one hundred twenty-three million, eight hundred seventy-six thousand, ninety-six".