230620800 has 96 divisors (see below), whose sum is σ = 759638880. Its totient is φ = 61496320.

The previous prime is 230620781. The next prime is 230620801. The reversal of 230620800 is 8026032.

230620800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (230620801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2412 + ... + 21611.

It is an arithmetic number, because the mean of its divisors is an integer number (7912905).

Almost surely, 2^230620800 is an apocalyptic number.

230620800 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 230620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379819440).

230620800 is an abundant number, since it is smaller than the sum of its proper divisors (529018080).

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

230620800 is a wasteful number, since it uses less digits than its factorization.

230620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24050 (or 24033 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 230620800 is about 15186.2042657143. The cubic root of 230620800 is about 613.2433180226.

Adding to 230620800 its reverse (8026032), we get a palindrome (238646832).

The spelling of 230620800 in words is "two hundred thirty million, six hundred twenty thousand, eight hundred".