5835040 has 24 divisors (see below), whose sum is σ = 13785660. Its totient is φ = 2333952.

The previous prime is 5835013. The next prime is 5835043. The reversal of 5835040 is 405385.

It is a happy number.

5835040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5702544 + 132496 = 2388^2 + 364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5834996 and 5835014.

It is not an unprimeable number, because it can be changed into a prime (5835043) 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 3 ways as a sum of consecutive naturals, for example, 18075 + ... + 18394.

Almost surely, 2^5835040 is an apocalyptic number.

It is an amenable number.

5835040 is an abundant number, since it is smaller than the sum of its proper divisors (7950620).

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

5835040 is a wasteful number, since it uses less digits than its factorization.

5835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36484 (or 36476 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5835040 is about 2415.5827454260. The cubic root of 5835040 is about 180.0312702875.

The spelling of 5835040 in words is "five million, eight hundred thirty-five thousand, forty".