240558640 has 120 divisors (see below), whose sum is σ = 657748080. Its totient is φ = 81575424.

The previous prime is 240558629. The next prime is 240558671. The reversal of 240558640 is 46855042.

It is a junction number, because it is equal to n+sod(n) for n = 240558596 and 240558605.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426999 + ... + 427561.

It is an arithmetic number, because the mean of its divisors is an integer number (5481234).

Almost surely, 2^240558640 is an apocalyptic number.

240558640 is a gapful number since it is divisible by the number (20) 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 240558640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328874040).

240558640 is an abundant number, since it is smaller than the sum of its proper divisors (417189440).

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

240558640 is a wasteful number, since it uses less digits than its factorization.

240558640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 240558640 is about 15509.9529335198. The cubic root of 240558640 is about 621.9283009961.

The spelling of 240558640 in words is "two hundred forty million, five hundred fifty-eight thousand, six hundred forty".