40584672 has 96 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 13371264.

The previous prime is 40584631. The next prime is 40584679. The reversal of 40584672 is 27648504.

40584672 is a `hidden beast` number, since 4 + 0 + 584 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40584679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92229 + ... + 92667.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 2^40584672 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 40584672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

40584672 is an abundant number, since it is smaller than the sum of its proper divisors (79165728).

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

40584672 is a wasteful number, since it uses less digits than its factorization.

40584672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 40584672 is about 6370.6100178868. The cubic root of 40584672 is about 343.6534277699.

The spelling of 40584672 in words is "forty million, five hundred eighty-four thousand, six hundred seventy-two".