240588 has 36 divisors (see below), whose sum is σ = 626808. Its totient is φ = 77760.

The previous prime is 240587. The next prime is 240589. The reversal of 240588 is 885042.

It is an interprime number because it is at equal distance from previous prime (240587) and next prime (240589).

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240587) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1395 + ... + 1557.

2²⁴⁰⁵⁸⁸ 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 240588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313404).

240588 is an abundant number, since it is smaller than the sum of its proper divisors (386220).

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

240588 is a wasteful number, since it uses less digits than its factorization.

240588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 240588 is about 490.4977064167. The cubic root of 240588 is about 62.1953601926.

It can be divided in two parts, 240 and 588, that added together give a palindrome (828).

The spelling of 240588 in words is "two hundred forty thousand, five hundred eighty-eight".