5845840 has 160 divisors (see below), whose sum is σ = 18498816. Its totient is φ = 1658880.

The previous prime is 5845823. The next prime is 5845859. The reversal of 5845840 is 485485.

5845840 = 182² + 183² + ... + 286².

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 5845796 and 5845805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80044 + ... + 80116.

Almost surely, 2^5845840 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 5845840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249408).

5845840 is an abundant number, since it is smaller than the sum of its proper divisors (12652976).

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

5845840 is a wasteful number, since it uses less digits than its factorization.

5845840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 5845840 is about 2417.8171973911. The cubic root of 5845840 is about 180.1422743461.

The spelling of 5845840 in words is "five million, eight hundred forty-five thousand, eight hundred forty".