240720 has 80 divisors (see below), whose sum is σ = 803520. Its totient is φ = 59392.

The previous prime is 240719. The next prime is 240727. The reversal of 240720 is 27042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×240720² = 115892236800, which contains 22 as substring.

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

240720 is a modest number, since divided by 720 gives 240 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 240720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240727) 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, 4051 + ... + 4109.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2²⁴⁰⁷²⁰ is an apocalyptic number.

240720 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 240720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

240720 is an abundant number, since it is smaller than the sum of its proper divisors (562800).

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

240720 is a wasteful number, since it uses less digits than its factorization.

240720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 240720 is about 490.6322451694. The cubic root of 240720 is about 62.2067327279.

Adding to 240720 its reverse (27042), we get a palindrome (267762).

The spelling of 240720 in words is "two hundred forty thousand, seven hundred twenty", and thus it is an iban number.