40320084 has 48 divisors (see below), whose sum is σ = 110434688. Its totient is φ = 11207808.

The previous prime is 40320079. The next prime is 40320101. The reversal of 40320084 is 48002304.

It is a happy number.

40320084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40320084.

It is a congruent number.

It is an unprimeable number.

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, 3379 + ... + 9594.

Almost surely, 2^40320084 is an apocalyptic number.

It is an amenable number.

40320084 is an abundant number, since it is smaller than the sum of its proper divisors (70114604).

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

40320084 is a wasteful number, since it uses less digits than its factorization.

40320084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13024 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40320084 is about 6349.8097609299. The cubic root of 40320084 is about 342.9049934207.

Adding to 40320084 its reverse (48002304), we get a palindrome (88322388).

The spelling of 40320084 in words is "forty million, three hundred twenty thousand, eighty-four".