230791680 has 480 divisors, whose sum is σ = 965188224. Its totient is φ = 51757056.

The previous prime is 230791679. The next prime is 230791697. The reversal of 230791680 is 86197032.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354534 + ... + 4354586.

Almost surely, 2^230791680 is an apocalyptic number.

230791680 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 230791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482594112).

230791680 is an abundant number, since it is smaller than the sum of its proper divisors (734396544).

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

230791680 is an frugal number, since it uses more digits than its factorization.

230791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 230791680 is about 15191.8293829282. The cubic root of 230791680 is about 613.3947428535.

230791680 divided by its product of nonzero digits (18144) gives a triangular number (12720 = T₁₅₉).

The spelling of 230791680 in words is "two hundred thirty million, seven hundred ninety-one thousand, six hundred eighty".