5978304 has 84 divisors (see below), whose sum is σ = 17474184. Its totient is φ = 1953792.

The previous prime is 5978279. The next prime is 5978309. The reversal of 5978304 is 4038795.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5978309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55819 + ... + 55925.

It is an arithmetic number, because the mean of its divisors is an integer number (208026).

Almost surely, 2^5978304 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 5978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8737092).

5978304 is an abundant number, since it is smaller than the sum of its proper divisors (11495880).

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

5978304 is a wasteful number, since it uses less digits than its factorization.

5978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5978304 is about 2445.0570545490. The cubic root of 5978304 is about 181.4927711530.

The spelling of 5978304 in words is "five million, nine hundred seventy-eight thousand, three hundred four".