230976768 has 144 divisors (see below), whose sum is σ = 706406400. Its totient is φ = 66263040.

The previous prime is 230976743. The next prime is 230976791. The reversal of 230976768 is 867679032.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159793 + ... + 161231.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2^230976768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353203200).

230976768 is an abundant number, since it is smaller than the sum of its proper divisors (475429632).

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

230976768 is a wasteful number, since it uses less digits than its factorization.

230976768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 230976768 is about 15197.9198576647. The cubic root of 230976768 is about 613.5586737629.

The spelling of 230976768 in words is "two hundred thirty million, nine hundred seventy-six thousand, seven hundred sixty-eight".