240670080 has 384 divisors, whose sum is σ = 977633280. Its totient is φ = 53415936.

The previous prime is 240670063. The next prime is 240670153. The reversal of 240670080 is 80076042.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1894977 + ... + 1895103.

It is an arithmetic number, because the mean of its divisors is an integer number (2545920).

Almost surely, 2^240670080 is an apocalyptic number.

240670080 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 240670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488816640).

240670080 is an abundant number, since it is smaller than the sum of its proper divisors (736963200).

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

240670080 is a wasteful number, since it uses less digits than its factorization.

240670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 240670080 is about 15513.5450494076. The cubic root of 240670080 is about 622.0243233079.

The spelling of 240670080 in words is "two hundred forty million, six hundred seventy thousand, eighty".