240560640 has 240 divisors, whose sum is σ = 853157448. Its totient is φ = 62619648.

The previous prime is 240560633. The next prime is 240560699. The reversal of 240560640 is 46065042.

It is a happy number.

240560640 is a `hidden beast` number, since 2 + 40 + 560 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 240374016 + 186624 = 15504^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 1221022 + ... + 1221218.

Almost surely, 2^240560640 is an apocalyptic number.

240560640 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 240560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426578724).

240560640 is an abundant number, since it is smaller than the sum of its proper divisors (612596808).

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

240560640 is a wasteful number, since it uses less digits than its factorization.

240560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 240560640 is about 15510.0174081140. The cubic root of 240560640 is about 621.9300245581.

The spelling of 240560640 in words is "two hundred forty million, five hundred sixty thousand, six hundred forty".