40084320 has 144 divisors (see below), whose sum is σ = 131897808. Its totient is φ = 10229760.

The previous prime is 40084277. The next prime is 40084327. The reversal of 40084320 is 2348004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40084327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657090 + ... + 657150.

It is an arithmetic number, because the mean of its divisors is an integer number (915957).

Almost surely, 2^40084320 is an apocalyptic number.

40084320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65948904).

40084320 is an abundant number, since it is smaller than the sum of its proper divisors (91813488).

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

40084320 is a wasteful number, since it uses less digits than its factorization.

40084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 108 counting only the distinct ones).

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

The square root of 40084320 is about 6331.2178923174. The cubic root of 40084320 is about 342.2353292957.

It can be divided in two parts, 40084 and 320, that added together give a palindrome (40404).

The spelling of 40084320 in words is "forty million, eighty-four thousand, three hundred twenty".