123681600 has 336 divisors, whose sum is σ = 516534400. Its totient is φ = 28200960.

The previous prime is 123681553. The next prime is 123681601. The reversal of 123681600 is 6186321.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123681601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302196 + ... + 302604.

Almost surely, 2^123681600 is an apocalyptic number.

123681600 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 123681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258267200).

123681600 is an abundant number, since it is smaller than the sum of its proper divisors (392852800).

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

123681600 is a wasteful number, since it uses less digits than its factorization.

123681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 123681600 is about 11121.2229543338. Note that the first 3 decimals coincide. The cubic root of 123681600 is about 498.2359166731.

The spelling of 123681600 in words is "one hundred twenty-three million, six hundred eighty-one thousand, six hundred".