230065680 has 160 divisors (see below), whose sum is σ = 808698240. Its totient is φ = 53637120.

The previous prime is 230065679. The next prime is 230065681. The reversal of 230065680 is 86560032.

It is an interprime number because it is at equal distance from previous prime (230065679) and next prime (230065681).

It is a super-2 number, since 2×230065680² = 105860434227724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (230065681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57340 + ... + 61220.

It is an arithmetic number, because the mean of its divisors is an integer number (5054364).

Almost surely, 2^230065680 is an apocalyptic number.

230065680 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 230065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404349120).

230065680 is an abundant number, since it is smaller than the sum of its proper divisors (578632560).

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

230065680 is a wasteful number, since it uses less digits than its factorization.

230065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 230065680 is about 15167.9161390087. The cubic root of 230065680 is about 612.7508832010.

The spelling of 230065680 in words is "two hundred thirty million, sixty-five thousand, six hundred eighty".