240961840 has 40 divisors (see below), whose sum is σ = 640271520. Its totient is φ = 82615296.

The previous prime is 240961829. The next prime is 240961901. The reversal of 240961840 is 48169042.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 240961796 and 240961805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214585 + ... + 215704.

It is an arithmetic number, because the mean of its divisors is an integer number (16006788).

Almost surely, 2^240961840 is an apocalyptic number.

240961840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240961840 is an abundant number, since it is smaller than the sum of its proper divisors (399309680).

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

240961840 is a wasteful number, since it uses less digits than its factorization.

240961840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430309 (or 430303 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 240961840 is about 15522.9455967609. The cubic root of 240961840 is about 622.2755780965.

The spelling of 240961840 in words is "two hundred forty million, nine hundred sixty-one thousand, eight hundred forty".