240120 has 96 divisors (see below), whose sum is σ = 842400. Its totient is φ = 59136.

The previous prime is 240113. The next prime is 240131. The reversal of 240120 is 21042.

240120 = T₂₄₁ + T₂₄₂ + ... + T₂₄₈.

240120 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×240120² = 115315228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

240120 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 8266 + ... + 8294.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2²⁴⁰¹²⁰ is an apocalyptic number.

240120 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 240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421200).

240120 is an abundant number, since it is smaller than the sum of its proper divisors (602280).

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

240120 is a wasteful number, since it uses less digits than its factorization.

240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 240120 is about 490.0204077383. The cubic root of 240120 is about 62.1550058350.

Adding to 240120 its reverse (21042), we get a palindrome (261162).

The spelling of 240120 in words is "two hundred forty thousand, one hundred twenty", and thus it is an iban number.