5958000 has 120 divisors (see below), whose sum is σ = 20872176. Its totient is φ = 1584000.

The previous prime is 5957981. The next prime is 5958047. The reversal of 5958000 is 8595.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17835 + ... + 18165.

Almost surely, 2^5958000 is an apocalyptic number.

5958000 is a gapful number since it is divisible by the number (50) 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 5958000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10436088).

5958000 is an abundant number, since it is smaller than the sum of its proper divisors (14914176).

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

5958000 is a wasteful number, since it uses less digits than its factorization.

5958000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5958000 is about 2440.9014728170. The cubic root of 5958000 is about 181.2870712916.

The spelling of 5958000 in words is "five million, nine hundred fifty-eight thousand".