240416064 has 84 divisors (see below), whose sum is σ = 787566624. Its totient is φ = 68689152.

The previous prime is 240416051. The next prime is 240416069. The reversal of 240416064 is 460614042.

240416064 is a `hidden beast` number, since 240 + 416 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240416069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25782 + ... + 33845.

Almost surely, 2^240416064 is an apocalyptic number.

240416064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240416064 is an abundant number, since it is smaller than the sum of its proper divisors (547150560).

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

240416064 is a wasteful number, since it uses less digits than its factorization.

240416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59652 (or 59639 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 240416064 is about 15505.3559778549. The cubic root of 240416064 is about 621.8054070890.

The spelling of 240416064 in words is "two hundred forty million, four hundred sixteen thousand, sixty-four".