40580064 has 72 divisors (see below), whose sum is σ = 131891760. Its totient is φ = 11593728.

The previous prime is 40580041. The next prime is 40580069. The reversal of 40580064 is 46008504.

40580064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40580069) 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 11 ways as a sum of consecutive naturals, for example, 8049 + ... + 12080.

It is an arithmetic number, because the mean of its divisors is an integer number (1831830).

Almost surely, 2^40580064 is an apocalyptic number.

It is an amenable number.

40580064 is an abundant number, since it is smaller than the sum of its proper divisors (91311696).

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

40580064 is a wasteful number, since it uses less digits than its factorization.

40580064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20152 (or 20141 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40580064 is about 6370.2483468072. The cubic root of 40580064 is about 343.6404210947.

Adding to 40580064 its reverse (46008504), we get a palindrome (86588568).

The spelling of 40580064 in words is "forty million, five hundred eighty thousand, sixty-four".