230808960 has 384 divisors, whose sum is σ = 886053600. Its totient is φ = 56733696.

The previous prime is 230808959. The next prime is 230808971. The reversal of 230808960 is 69808032.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6238062 + ... + 6238098.

Almost surely, 2^230808960 is an apocalyptic number.

230808960 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 230808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443026800).

230808960 is an abundant number, since it is smaller than the sum of its proper divisors (655244640).

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

230808960 is a wasteful number, since it uses less digits than its factorization.

230808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 230808960 is about 15192.3980990494. The cubic root of 230808960 is about 613.4100513150.

The spelling of 230808960 in words is "two hundred thirty million, eight hundred eight thousand, nine hundred sixty".