5820864 has 112 divisors (see below), whose sum is σ = 18141696. Its totient is φ = 1612800.

The previous prime is 5820853. The next prime is 5820869. The reversal of 5820864 is 4680285.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5820869) 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, 81949 + ... + 82019.

Almost surely, 2^5820864 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 5820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070848).

5820864 is an abundant number, since it is smaller than the sum of its proper divisors (12320832).

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

5820864 is a wasteful number, since it uses less digits than its factorization.

5820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 5820864 is about 2412.6466794788. The cubic root of 5820864 is about 179.8853591002.

The spelling of 5820864 in words is "five million, eight hundred twenty thousand, eight hundred sixty-four".