240128064 has 140 divisors (see below), whose sum is σ = 776709648. Its totient is φ = 72748800.

The previous prime is 240128041. The next prime is 240128071. The reversal of 240128064 is 460821042.

240128064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240128064² = 115322974240776192, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54919 + ... + 59129.

Almost surely, 2^240128064 is an apocalyptic number.

240128064 is a gapful number since it is divisible by the number (24) 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 240128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388354824).

240128064 is an abundant number, since it is smaller than the sum of its proper divisors (536581584).

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

240128064 is a wasteful number, since it uses less digits than its factorization.

240128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 240128064 is about 15496.0660814285. The cubic root of 240128064 is about 621.5570161539.

The spelling of 240128064 in words is "two hundred forty million, one hundred twenty-eight thousand, sixty-four".