5904065408 has 64 divisors (see below), whose sum is σ = 12370821120. Its totient is φ = 2801272320.

The previous prime is 5904065389. The next prime is 5904065417. The reversal of 5904065408 is 8045604095.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365993 + ... + 381783.

It is an arithmetic number, because the mean of its divisors is an integer number (193294080).

Almost surely, 2^5904065408 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 5904065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185410560).

5904065408 is an abundant number, since it is smaller than the sum of its proper divisors (6466755712).

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

5904065408 is a wasteful number, since it uses less digits than its factorization.

5904065408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15955 (or 15943 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 5904065408 is about 76837.9164735744. The cubic root of 5904065408 is about 1807.3838059917.

The spelling of 5904065408 in words is "five billion, nine hundred four million, sixty-five thousand, four hundred eight".