240530688 has 288 divisors, whose sum is σ = 794707200. Its totient is φ = 71368704.

The previous prime is 240530687. The next prime is 240530701. The reversal of 240530688 is 886035042.

240530688 is a `hidden beast` number, since 2 + 40 + 530 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240530683) 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 31 ways as a sum of consecutive naturals, for example, 2702548 + ... + 2702636.

It is an arithmetic number, because the mean of its divisors is an integer number (2759400).

Almost surely, 2^240530688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240530688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397353600).

240530688 is an abundant number, since it is smaller than the sum of its proper divisors (554176512).

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

240530688 is a wasteful number, since it uses less digits than its factorization.

240530688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 240530688 is about 15509.0518085407. The cubic root of 240530688 is about 621.9042114945.

The spelling of 240530688 in words is "two hundred forty million, five hundred thirty thousand, six hundred eighty-eight".