40584164 has 12 divisors (see below), whose sum is σ = 71073324. Its totient is φ = 20277504.

The previous prime is 40584161. The next prime is 40584179. The reversal of 40584164 is 46148504.

40584164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2044900 + 38539264 = 1430^2 + 6208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40584164.

It is not an unprimeable number, because it can be changed into a prime (40584161) 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 3 ways as a sum of consecutive naturals, for example, 4784 + ... + 10200.

It is an arithmetic number, because the mean of its divisors is an integer number (5922777).

Almost surely, 2^40584164 is an apocalyptic number.

It is an amenable number.

40584164 is a deficient number, since it is larger than the sum of its proper divisors (30489160).

40584164 is a wasteful number, since it uses less digits than its factorization.

40584164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 40584164 is about 6370.5701471689. The cubic root of 40584164 is about 343.6519939225.

It can be divided in two parts, 40584 and 164, that multiplied together give a triangular number (6655776 = T₃₆₄₈).

The spelling of 40584164 in words is "forty million, five hundred eighty-four thousand, one hundred sixty-four".