5845920 has 96 divisors (see below), whose sum is σ = 19414080. Its totient is φ = 1474560.

The previous prime is 5845919. The next prime is 5845967. The reversal of 5845920 is 295485.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8800 + ... + 9440.

It is an arithmetic number, because the mean of its divisors is an integer number (202230).

Almost surely, 2^5845920 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 5845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707040).

5845920 is an abundant number, since it is smaller than the sum of its proper divisors (13568160).

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

5845920 is a wasteful number, since it uses less digits than its factorization.

5845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5845920 is about 2417.8337411824. The cubic root of 5845920 is about 180.1430960881.

The spelling of 5845920 in words is "five million, eight hundred forty-five thousand, nine hundred twenty".