5985408 has 128 divisors (see below), whose sum is σ = 18849600. Its totient is φ = 1658880.

The previous prime is 5985407. The next prime is 5985431. The reversal of 5985408 is 8045895.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5985401) 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, 54858 + ... + 54966.

Almost surely, 2^5985408 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 5985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424800).

5985408 is an abundant number, since it is smaller than the sum of its proper divisors (12864192).

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

5985408 is a wasteful number, since it uses less digits than its factorization.

5985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 5985408 is about 2446.5093500741. The cubic root of 5985408 is about 181.5646317946.

It can be divided in two parts, 598 and 5408, that added together give a palindrome (6006).

The spelling of 5985408 in words is "five million, nine hundred eighty-five thousand, four hundred eight".