230577864 has 64 divisors (see below), whose sum is σ = 642263040. Its totient is φ = 68381760.

The previous prime is 230577833. The next prime is 230577881. The reversal of 230577864 is 468775032.

230577864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 3117 + ... + 21699.

It is an arithmetic number, because the mean of its divisors is an integer number (10035360).

Almost surely, 2^230577864 is an apocalyptic number.

230577864 is a gapful number since it is divisible by the number (24) 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 230577864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321131520).

230577864 is an abundant number, since it is smaller than the sum of its proper divisors (411685176).

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

230577864 is a wasteful number, since it uses less digits than its factorization.

230577864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18650 (or 18646 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 230577864 is about 15184.7905484402. The cubic root of 230577864 is about 613.2052586494.

The spelling of 230577864 in words is "two hundred thirty million, five hundred seventy-seven thousand, eight hundred sixty-four".