5835440 has 80 divisors (see below), whose sum is σ = 15165696. Its totient is φ = 2073600.

The previous prime is 5835439. The next prime is 5835449. The reversal of 5835440 is 445385.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5835449) 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, 32150 + ... + 32330.

Almost surely, 2^5835440 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 5835440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582848).

5835440 is an abundant number, since it is smaller than the sum of its proper divisors (9330256).

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

5835440 is a wasteful number, since it uses less digits than its factorization.

5835440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 5835440 is about 2415.6655397633. The cubic root of 5835440 is about 180.0353839903.

The spelling of 5835440 in words is "five million, eight hundred thirty-five thousand, four hundred forty".