40134584 has 64 divisors (see below), whose sum is σ = 90470400. Its totient is φ = 16329600.

The previous prime is 40134583. The next prime is 40134629. The reversal of 40134584 is 48543104.

40134584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40134584² = 3221569665706112, which contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 40134584 = 94³ + 340³ = 157³ + 331³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40134583) 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, 105707 + ... + 106085.

It is an arithmetic number, because the mean of its divisors is an integer number (1413600).

Almost surely, 2^40134584 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 40134584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45235200).

40134584 is an abundant number, since it is smaller than the sum of its proper divisors (50335816).

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

40134584 is a wasteful number, since it uses less digits than its factorization.

40134584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 40134584 is about 6335.1861851093. The cubic root of 40134584 is about 342.3783189681.

Adding to 40134584 its reverse (48543104), we get a palindrome (88677688).

The spelling of 40134584 in words is "forty million, one hundred thirty-four thousand, five hundred eighty-four".