5958820 has 48 divisors (see below), whose sum is σ = 14773248. Its totient is φ = 1975680.

The previous prime is 5958787. The next prime is 5958839. The reversal of 5958820 is 288595.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5958820.

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, 3654 + ... + 5026.

It is an arithmetic number, because the mean of its divisors is an integer number (307776).

Almost surely, 2^5958820 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 5958820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386624).

5958820 is an abundant number, since it is smaller than the sum of its proper divisors (8814428).

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

5958820 is a wasteful number, since it uses less digits than its factorization.

5958820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 5958820 is about 2441.0694377670. The cubic root of 5958820 is about 181.2953877613.

The spelling of 5958820 in words is "five million, nine hundred fifty-eight thousand, eight hundred twenty".