233085600 has 432 divisors, whose sum is σ = 938377440. Its totient is φ = 55987200.

The previous prime is 233085553. The next prime is 233085613. The reversal of 233085600 is 6580332.

233085600 is a `hidden beast` number, since 23 + 30 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2138346 + ... + 2138454.

It is an arithmetic number, because the mean of its divisors is an integer number (2172170).

Almost surely, 2^233085600 is an apocalyptic number.

233085600 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 233085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469188720).

233085600 is an abundant number, since it is smaller than the sum of its proper divisors (705291840).

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

233085600 is a wasteful number, since it uses less digits than its factorization.

233085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 233085600 is about 15267.1411862208. The cubic root of 233085600 is about 615.4202956876.

The spelling of 233085600 in words is "two hundred thirty-three million, eighty-five thousand, six hundred".