230085680 has 80 divisors (see below), whose sum is σ = 596104704. Its totient is φ = 81872640.

The previous prime is 230085679. The next prime is 230085719. The reversal of 230085680 is 86580032.

230085680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38579 + ... + 44141.

Almost surely, 2^230085680 is an apocalyptic number.

230085680 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 230085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298052352).

230085680 is an abundant number, since it is smaller than the sum of its proper divisors (366019024).

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

230085680 is a wasteful number, since it uses less digits than its factorization.

230085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5634 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 230085680 is about 15168.5754110266. The cubic root of 230085680 is about 612.7686385112.

The spelling of 230085680 in words is "two hundred thirty million, eighty-five thousand, six hundred eighty".