5820672 has 144 divisors (see below), whose sum is σ = 18543168. Its totient is φ = 1597440.

The previous prime is 5820671. The next prime is 5820673. The reversal of 5820672 is 2760285.

It is an interprime number because it is at equal distance from previous prime (5820671) and next prime (5820673).

It is not an unprimeable number, because it can be changed into a prime (5820671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109798 + ... + 109850.

It is an arithmetic number, because the mean of its divisors is an integer number (128772).

Almost surely, 2^5820672 is an apocalyptic number.

5820672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271584).

5820672 is an abundant number, since it is smaller than the sum of its proper divisors (12722496).

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

5820672 is a wasteful number, since it uses less digits than its factorization.

5820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5820672 is about 2412.6068888238. The cubic root of 5820672 is about 179.8833812513.

The spelling of 5820672 in words is "five million, eight hundred twenty thousand, six hundred seventy-two".