5959000 has 64 divisors (see below), whose sum is σ = 14320800. Its totient is φ = 2320000.

The previous prime is 5958971. The next prime is 5959039. The reversal of 5959000 is 9595.

5959000 = 31³ + 32³ + ... + 70³.

It is a self number, because there is not a number n which added to its sum of digits gives 5959000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58950 + ... + 59050.

Almost surely, 2^5959000 is an apocalyptic number.

5959000 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 5959000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160400).

5959000 is an abundant number, since it is smaller than the sum of its proper divisors (8361800).

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

5959000 is a wasteful number, since it uses less digits than its factorization.

5959000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 5959000 is about 2441.1063065750. The cubic root of 5959000 is about 181.2972132257.

The spelling of 5959000 in words is "five million, nine hundred fifty-nine thousand".