306240 has 112 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 71680.

The previous prime is 306239. The next prime is 306247. The reversal of 306240 is 42603.

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

It is not an unprimeable number, because it can be changed into a prime (306247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10546 + ... + 10574.

2³⁰⁶²⁴⁰ is an apocalyptic number.

306240 is a gapful number since it is divisible by the number (30) 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 306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548640).

306240 is an abundant number, since it is smaller than the sum of its proper divisors (791040).

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

306240 is a wasteful number, since it uses less digits than its factorization.

306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 50 counting only the distinct ones).

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

The square root of 306240 is about 553.3895553767. The cubic root of 306240 is about 67.4042538267.

Adding to 306240 its reverse (42603), we get a palindrome (348843).

The spelling of 306240 in words is "three hundred six thousand, two hundred forty".