232668800 has 384 divisors, whose sum is σ = 764951040. Its totient is φ = 67829760.

The previous prime is 232668773. The next prime is 232668811. The reversal of 232668800 is 8866232.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4950377 + ... + 4950423.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2^232668800 is an apocalyptic number.

232668800 is a gapful number since it is divisible by the number (20) 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 232668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382475520).

232668800 is an abundant number, since it is smaller than the sum of its proper divisors (532282240).

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

232668800 is a wasteful number, since it uses less digits than its factorization.

232668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 232668800 is about 15253.4848477323. The cubic root of 232668800 is about 615.0532485236.

The spelling of 232668800 in words is "two hundred thirty-two million, six hundred sixty-eight thousand, eight hundred".