230084640 has 144 divisors (see below), whose sum is σ = 819419328. Its totient is φ = 58679808.

The previous prime is 230084597. The next prime is 230084653. The reversal of 230084640 is 46480032.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×230084640³ (a number of 26 digits) contains 333 as substring.

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, 29647 + ... + 36593.

It is an arithmetic number, because the mean of its divisors is an integer number (5690412).

Almost surely, 2^230084640 is an apocalyptic number.

230084640 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 230084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409709664).

230084640 is an abundant number, since it is smaller than the sum of its proper divisors (589334688).

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

230084640 is a wasteful number, since it uses less digits than its factorization.

230084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6980 counting only the distinct ones).

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

The square root of 230084640 is about 15168.5411295879. The cubic root of 230084640 is about 612.7677152604.

Subtracting from 230084640 its product of nonzero digits (4608), we obtain a palindrome (230080032).

The spelling of 230084640 in words is "two hundred thirty million, eighty-four thousand, six hundred forty".