5982816 has 96 divisors (see below), whose sum is σ = 18627840. Its totient is φ = 1645056.

The previous prime is 5982811. The next prime is 5982817. The reversal of 5982816 is 6182895.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5982811) 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, 19335 + ... + 19641.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 2^5982816 is an apocalyptic number.

5982816 is a gapful number since it is divisible by the number (56) 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 5982816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313920).

5982816 is an abundant number, since it is smaller than the sum of its proper divisors (12645024).

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

5982816 is a wasteful number, since it uses less digits than its factorization.

5982816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 5982816 is about 2445.9795583774. The cubic root of 5982816 is about 181.5384189630.

The spelling of 5982816 in words is "five million, nine hundred eighty-two thousand, eight hundred sixteen".