5916800 has 72 divisors (see below), whose sum is σ = 14964165. Its totient is φ = 2311680.

The previous prime is 5916797. The next prime is 5916839. The reversal of 5916800 is 86195.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5916800 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 5798464 + 118336 = 2408^2 + 344^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137579 + ... + 137621.

Almost surely, 2^5916800 is an apocalyptic number.

5916800 is a gapful number since it is divisible by the number (50) 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 5916800

5916800 is an abundant number, since it is smaller than the sum of its proper divisors (9047365).

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

5916800 is an equidigital number, since it uses as much as digits as its factorization.

5916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 5916800 is about 2432.4473272817. The cubic root of 5916800 is about 180.8682333107.

The spelling of 5916800 in words is "five million, nine hundred sixteen thousand, eight hundred".