240847120 has 80 divisors (see below), whose sum is σ = 580306608. Its totient is φ = 92897280.

The previous prime is 240847073. The next prime is 240847121. The reversal of 240847120 is 21748042.

240847120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23697424 + 217149696 = 4868^2 + 14736^2 .

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

It is not an unprimeable number, because it can be changed into a prime (240847121) 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 15 ways as a sum of consecutive naturals, for example, 317782 + ... + 318538.

Almost surely, 2^240847120 is an apocalyptic number.

240847120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

240847120 is the 7760-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240847120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290153304).

240847120 is an abundant number, since it is smaller than the sum of its proper divisors (339459488).

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

240847120 is a wasteful number, since it uses less digits than its factorization.

240847120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 240847120 is about 15519.2499818773. The cubic root of 240847120 is about 622.1768089494.

The spelling of 240847120 in words is "two hundred forty million, eight hundred forty-seven thousand, one hundred twenty".