240768000 has 528 divisors, whose sum is σ = 996315840. Its totient is φ = 55296000.

The previous prime is 240767993. The next prime is 240768007. The reversal of 240768000 is 867042.

It is an interprime number because it is at equal distance from previous prime (240767993) and next prime (240768007).

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240768007) 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 47 ways as a sum of consecutive naturals, for example, 12671991 + ... + 12672009.

Almost surely, 2^240768000 is an apocalyptic number.

240768000 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 240768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498157920).

240768000 is an abundant number, since it is smaller than the sum of its proper divisors (755547840).

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

240768000 is a wasteful number, since it uses less digits than its factorization.

240768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 240768000 is about 15516.7006802348. The cubic root of 240768000 is about 622.1086716450.

It can be divided in two parts, 2407 and 68000, that added together give a palindrome (70407).

The spelling of 240768000 in words is "two hundred forty million, seven hundred sixty-eight thousand".