240098560 has 144 divisors (see below), whose sum is σ = 634588416. Its totient is φ = 86482944.

The previous prime is 240098549. The next prime is 240098561. The reversal of 240098560 is 65890042.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240098561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 781927 + ... + 782233.

It is an arithmetic number, because the mean of its divisors is an integer number (4406864).

Almost surely, 2^240098560 is an apocalyptic number.

240098560 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 240098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317294208).

240098560 is an abundant number, since it is smaller than the sum of its proper divisors (394489856).

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

240098560 is a wasteful number, since it uses less digits than its factorization.

240098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 240098560 is about 15495.1140686347. The cubic root of 240098560 is about 621.5315586695.

The spelling of 240098560 in words is "two hundred forty million, ninety-eight thousand, five hundred sixty".