240106680 has 160 divisors (see below), whose sum is σ = 880521840. Its totient is φ = 58199040.

The previous prime is 240106679. The next prime is 240106703. The reversal of 240106680 is 86601042.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32272 + ... + 39008.

Almost surely, 2^240106680 is an apocalyptic number.

240106680 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 240106680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440260920).

240106680 is an abundant number, since it is smaller than the sum of its proper divisors (640415160).

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

240106680 is a wasteful number, since it uses less digits than its factorization.

240106680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6771 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 240106680 is about 15495.3760844969. The cubic root of 240106680 is about 621.5385652079.

The spelling of 240106680 in words is "two hundred forty million, one hundred six thousand, six hundred eighty".