240724120 has 128 divisors (see below), whose sum is σ = 683303040. Its totient is φ = 74280960.

The previous prime is 240724103. The next prime is 240724123. The reversal of 240724120 is 21427042.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 240724091 and 240724100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240724123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148434 + ... + 150046.

It is an arithmetic number, because the mean of its divisors is an integer number (5338305).

Almost surely, 2^240724120 is an apocalyptic number.

240724120 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 240724120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341651520).

240724120 is an abundant number, since it is smaller than the sum of its proper divisors (442578920).

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

240724120 is a wasteful number, since it uses less digits than its factorization.

240724120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 240724120 is about 15515.2866554247. The cubic root of 240724120 is about 622.0708762195.

The spelling of 240724120 in words is "two hundred forty million, seven hundred twenty-four thousand, one hundred twenty".