40005084 has 48 divisors (see below), whose sum is σ = 108960768. Its totient is φ = 11185728.

The previous prime is 40005079. The next prime is 40005107. The reversal of 40005084 is 48050004.

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 40005084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119 + ... + 9014.

It is an arithmetic number, because the mean of its divisors is an integer number (2270016).

Almost surely, 2^40005084 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 40005084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54480384).

40005084 is an abundant number, since it is smaller than the sum of its proper divisors (68955684).

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

40005084 is a wasteful number, since it uses less digits than its factorization.

40005084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10194 (or 10192 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 40005084 is about 6324.9572330570. The cubic root of 40005084 is about 342.0096779177.

Adding to 40005084 its reverse (48050004), we get a palindrome (88055088).

The spelling of 40005084 in words is "forty million, five thousand, eighty-four".