240661824 has 56 divisors (see below), whose sum is σ = 685739040. Its totient is φ = 74049024.

The previous prime is 240661819. The next prime is 240661829. The reversal of 240661824 is 428166042.

It is an interprime number because it is at equal distance from previous prime (240661819) and next prime (240661829).

It is a super-2 number, since 2×240661824² = 115836227062013952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240661829) 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 7 ways as a sum of consecutive naturals, for example, 45714 + ... + 50705.

It is an arithmetic number, because the mean of its divisors is an integer number (12245340).

Almost surely, 2^240661824 is an apocalyptic number.

240661824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240661824 is an abundant number, since it is smaller than the sum of its proper divisors (445077216).

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

240661824 is a wasteful number, since it uses less digits than its factorization.

240661824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96447 (or 96437 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 240661824 is about 15513.2789570742. The cubic root of 240661824 is about 622.0172105397.

The spelling of 240661824 in words is "two hundred forty million, six hundred sixty-one thousand, eight hundred twenty-four".