230084064 has 168 divisors, whose sum is σ = 776729520. Its totient is φ = 65691648.

The previous prime is 230084027. The next prime is 230084081. The reversal of 230084064 is 460480032.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 162592 + ... + 164000.

It is an arithmetic number, because the mean of its divisors is an integer number (4623390).

Almost surely, 2^230084064 is an apocalyptic number.

230084064 is a gapful number since it is divisible by the number (24) 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 230084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388364760).

230084064 is an abundant number, since it is smaller than the sum of its proper divisors (546645456).

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

230084064 is an equidigital number, since it uses as much as digits as its factorization.

230084064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 230084064 is about 15168.5221429116. The cubic root of 230084064 is about 612.7672039203.

It can be divided in two parts, 23008 and 4064, that added together give a palindrome (27072).

The spelling of 230084064 in words is "two hundred thirty million, eighty-four thousand, sixty-four".