240064 has 42 divisors (see below), whose sum is σ = 540512. Its totient is φ = 105600.

The previous prime is 240059. The next prime is 240073. The reversal of 240064 is 460042.

240064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

240064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7729 + ... + 7759.

2²⁴⁰⁰⁶⁴ 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 240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270256).

240064 is an abundant number, since it is smaller than the sum of its proper divisors (300448).

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

240064 is a wasteful number, since it uses less digits than its factorization.

240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 240064 is about 489.9632639290. The cubic root of 240064 is about 62.1501735970.

The spelling of 240064 in words is "two hundred forty thousand, sixty-four".