230736 has 80 divisors (see below), whose sum is σ = 714240. Its totient is φ = 63360.

The previous prime is 230729. The next prime is 230743. The reversal of 230736 is 637032.

It is an interprime number because it is at equal distance from previous prime (230729) and next prime (230743).

It is a congruent number.

It is an unprimeable number.

230736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10021 + ... + 10043.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2²³⁰⁷³⁶ 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 230736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

230736 is an abundant number, since it is smaller than the sum of its proper divisors (483504).

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

230736 is a wasteful number, since it uses less digits than its factorization.

230736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 230736 is about 480.3498724888. The cubic root of 230736 is about 61.3345410390.

Adding to 230736 its reverse (637032), we get a palindrome (867768).

The spelling of 230736 in words is "two hundred thirty thousand, seven hundred thirty-six".