230640 has 60 divisors (see below), whose sum is σ = 738792. Its totient is φ = 59520.

The previous prime is 230611. The next prime is 230647. The reversal of 230640 is 46032.

230640 = T₁₅₁ + T₁₅₂ + ... + T₁₆₈.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7425 + ... + 7455.

2²³⁰⁶⁴⁰ is an apocalyptic number.

230640 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 230640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369396).

230640 is an abundant number, since it is smaller than the sum of its proper divisors (508152).

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

230640 is a wasteful number, since it uses less digits than its factorization.

230640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230640 is about 480.2499349297. The cubic root of 230640 is about 61.3260335778.

Multiplying 230640 by its sum of digits (15), we get a square (3459600 = 1860²).

230640 divided by its sum of digits (15) gives a square (15376 = 124²).

Adding to 230640 its reverse (46032), we get a palindrome (276672).

It can be divided in two parts, 2306 and 40, that added together give a triangular number (2346 = T₆₈).

The spelling of 230640 in words is "two hundred thirty thousand, six hundred forty".