5810688 has 120 divisors (see below), whose sum is σ = 18246228. Its totient is φ = 1769472.

The previous prime is 5810683. The next prime is 5810689. The reversal of 5810688 is 8860185.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 278784 = 2352^2 + 528^2 .

It is a super-3 number, since 3×5810688³ (a number of 21 digits) contains 333 as substring.

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 (5810683) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 59856 + ... + 59952.

Almost surely, 2^5810688 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 5810688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123114).

5810688 is an abundant number, since it is smaller than the sum of its proper divisors (12435540).

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

5810688 is a wasteful number, since it uses less digits than its factorization.

5810688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 5810688 is about 2410.5368696620. The cubic root of 5810688 is about 179.7804731160.

The spelling of 5810688 in words is "five million, eight hundred ten thousand, six hundred eighty-eight".