5946120 has 96 divisors (see below), whose sum is σ = 19656000. Its totient is φ = 1558656.

The previous prime is 5946119. The next prime is 5946139. The reversal of 5946120 is 216495.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29781 + ... + 29979.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 2^5946120 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 5946120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828000).

5946120 is an abundant number, since it is smaller than the sum of its proper divisors (13709880).

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

5946120 is a wasteful number, since it uses less digits than its factorization.

5946120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5946120 is about 2438.4667313704. The cubic root of 5946120 is about 181.1664981994.

The spelling of 5946120 in words is "five million, nine hundred forty-six thousand, one hundred twenty".