240066064 has 80 divisors (see below), whose sum is σ = 574864000. Its totient is φ = 94804992.

The previous prime is 240066053. The next prime is 240066067. The reversal of 240066064 is 460660042.

240066064 = 197² + 198² + ... + 899².

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (240066067) 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, 77212 + ... + 80260.

It is an arithmetic number, because the mean of its divisors is an integer number (7185800).

Almost surely, 2^240066064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240066064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287432000).

240066064 is an abundant number, since it is smaller than the sum of its proper divisors (334797936).

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

240066064 is a wasteful number, since it uses less digits than its factorization.

240066064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 240066064 is about 15494.0654445501. The cubic root of 240066064 is about 621.5035171285.

The spelling of 240066064 in words is "two hundred forty million, sixty-six thousand, sixty-four".