240763968 has 112 divisors (see below), whose sum is σ = 711768960. Its totient is φ = 79805952.

The previous prime is 240763967. The next prime is 240763981. The reversal of 240763968 is 869367042.

240763968 is a `hidden beast` number, since 2 + 4 + 0 + 7 + 639 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (240763961) 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, 478405 + ... + 478907.

It is an arithmetic number, because the mean of its divisors is an integer number (6355080).

Almost surely, 2^240763968 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 240763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355884480).

240763968 is an abundant number, since it is smaller than the sum of its proper divisors (471004992).

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

240763968 is a wasteful number, since it uses less digits than its factorization.

240763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 240763968 is about 15516.5707551637. The cubic root of 240763968 is about 622.1051989297.

The spelling of 240763968 in words is "two hundred forty million, seven hundred sixty-three thousand, nine hundred sixty-eight".