123964800 has 192 divisors, whose sum is σ = 420546000. Its totient is φ = 32071680.

The previous prime is 123964777. The next prime is 123964817. The reversal of 123964800 is 8469321.

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, 355026 + ... + 355374.

Almost surely, 2^123964800 is an apocalyptic number.

123964800 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 123964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210273000).

123964800 is an abundant number, since it is smaller than the sum of its proper divisors (296581200).

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

123964800 is a wasteful number, since it uses less digits than its factorization.

123964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 123964800 is about 11133.9480868199. The cubic root of 123964800 is about 498.6159054332.

The spelling of 123964800 in words is "one hundred twenty-three million, nine hundred sixty-four thousand, eight hundred".