230720 has 56 divisors (see below), whose sum is σ = 633984. Its totient is φ = 78336.

The previous prime is 230719. The next prime is 230729. The reversal of 230720 is 27032.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 230695 and 230704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2189 + ... + 2291.

2²³⁰⁷²⁰ is an apocalyptic number.

230720 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 230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316992).

230720 is an abundant number, since it is smaller than the sum of its proper divisors (403264).

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

230720 is a wasteful number, since it uses less digits than its factorization.

230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 230720 is about 480.3332176729. Note that the first 3 decimals coincide. The cubic root of 230720 is about 61.3331232927. Note that the first 3 decimals are identical.

Adding to 230720 its reverse (27032), we get a palindrome (257752).

It can be divided in two parts, 230 and 720, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 230720 in words is "two hundred thirty thousand, seven hundred twenty".