240005688 has 96 divisors (see below), whose sum is σ = 664070400. Its totient is φ = 72219264.

The previous prime is 240005657. The next prime is 240005719. The reversal of 240005688 is 886500042.

It is an interprime number because it is at equal distance from previous prime (240005657) and next prime (240005719).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 190003 + ... + 191261.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400).

Almost surely, 2^240005688 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 240005688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332035200).

240005688 is an abundant number, since it is smaller than the sum of its proper divisors (424064712).

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

240005688 is a wasteful number, since it uses less digits than its factorization.

240005688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 240005688 is about 15492.1169631526. The cubic root of 240005688 is about 621.4514105793.

The spelling of 240005688 in words is "two hundred forty million, five thousand, six hundred eighty-eight".