5845680 has 120 divisors (see below), whose sum is σ = 20543328. Its totient is φ = 1486848.

The previous prime is 5845649. The next prime is 5845681. The reversal of 5845680 is 865485.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (5845681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16384 + ... + 16736.

Almost surely, 2^5845680 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 5845680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10271664).

5845680 is an abundant number, since it is smaller than the sum of its proper divisors (14697648).

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

5845680 is a wasteful number, since it uses less digits than its factorization.

5845680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5845680 is about 2417.7841094688. The cubic root of 5845680 is about 180.1406308397.

The spelling of 5845680 in words is "five million, eight hundred forty-five thousand, six hundred eighty".