240540 has 48 divisors (see below), whose sum is σ = 712320. Its totient is φ = 60480.

The previous prime is 240517. The next prime is 240551. The reversal of 240540 is 45042.

240540 is nontrivially palindromic in base 14.

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

240540 is a modest number, since divided by 540 gives 240 as remainder.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1035 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (14840).

2²⁴⁰⁵⁴⁰ is an apocalyptic number.

240540 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 240540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356160).

240540 is an abundant number, since it is smaller than the sum of its proper divisors (471780).

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

240540 is a wasteful number, since it uses less digits than its factorization.

240540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 240540 is about 490.4487740835. The cubic root of 240540 is about 62.1912236939.

Adding to 240540 its reverse (45042), we get a palindrome (285582).

It can be divided in two parts, 240 and 540, that multiplied together give a square (129600 = 360²).

The spelling of 240540 in words is "two hundred forty thousand, five hundred forty".