5958120 has 128 divisors (see below), whose sum is σ = 21047040. Its totient is φ = 1320960.

The previous prime is 5958097. The next prime is 5958131. The reversal of 5958120 is 218595.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 34354 + ... + 34526.

It is an arithmetic number, because the mean of its divisors is an integer number (164430).

Almost surely, 2^5958120 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 5958120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523520).

5958120 is an abundant number, since it is smaller than the sum of its proper divisors (15088920).

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

5958120 is a wasteful number, since it uses less digits than its factorization.

5958120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5958120 is about 2440.9260537755. The cubic root of 5958120 is about 181.2882883836.

The spelling of 5958120 in words is "five million, nine hundred fifty-eight thousand, one hundred twenty".