240935968 has 192 divisors, whose sum is σ = 642152448. Its totient is φ = 86261760.

The previous prime is 240935963. The next prime is 240935977. The reversal of 240935968 is 869539042.

It is a Smith number, since the sum of its digits (46) 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 (240935963) 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, 1534546 + ... + 1534702.

It is an arithmetic number, because the mean of its divisors is an integer number (3344544).

Almost surely, 2^240935968 is an apocalyptic number.

240935968 is a gapful number since it is divisible by the number (28) 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 240935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321076224).

240935968 is an abundant number, since it is smaller than the sum of its proper divisors (401216480).

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

240935968 is a wasteful number, since it uses less digits than its factorization.

240935968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 240935968 is about 15522.1122274000. The cubic root of 240935968 is about 622.2533061191.

The spelling of 240935968 in words is "two hundred forty million, nine hundred thirty-five thousand, nine hundred sixty-eight".