5800032 has 144 divisors (see below), whose sum is σ = 19822320. Its totient is φ = 1645056.

The previous prime is 5800027. The next prime is 5800037. The reversal of 5800032 is 2300085.

It is an interprime number because it is at equal distance from previous prime (5800027) and next prime (5800037).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5799978 and 5800014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5800037) 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, 42268 + ... + 42404.

It is an arithmetic number, because the mean of its divisors is an integer number (137655).

Almost surely, 2^5800032 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 5800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9911160).

5800032 is an abundant number, since it is smaller than the sum of its proper divisors (14022288).

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

5800032 is a wasteful number, since it uses less digits than its factorization.

5800032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5800032 is about 2408.3255593877. The cubic root of 5800032 is about 179.6705083416.

The spelling of 5800032 in words is "five million, eight hundred thousand, thirty-two".