5827840 has 72 divisors (see below), whose sum is σ = 14532840. Its totient is φ = 2236416.

The previous prime is 5827831. The next prime is 5827847. The reversal of 5827840 is 487285.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 5531904 = 544^2 + 2352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5827796 and 5827805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5827847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37042 + ... + 37198.

It is an arithmetic number, because the mean of its divisors is an integer number (201845).

Almost surely, 2^5827840 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 5827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266420).

5827840 is an abundant number, since it is smaller than the sum of its proper divisors (8705000).

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

5827840 is a wasteful number, since it uses less digits than its factorization.

5827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 5827840 is about 2414.0919617943. The cubic root of 5827840 is about 179.9571914659.

The spelling of 5827840 in words is "five million, eight hundred twenty-seven thousand, eight hundred forty".