5953120 has 48 divisors (see below), whose sum is σ = 14560560. Its totient is φ = 2297344.

The previous prime is 5953117. The next prime is 5953133. The reversal of 5953120 is 213595.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 3999 + ... + 5281.

It is an arithmetic number, because the mean of its divisors is an integer number (303345).

Almost surely, 2^5953120 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 5953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280280).

5953120 is an abundant number, since it is smaller than the sum of its proper divisors (8607440).

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

5953120 is a wasteful number, since it uses less digits than its factorization.

5953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 5953120 is about 2439.9016373616. The cubic root of 5953120 is about 181.2375623649.

The spelling of 5953120 in words is "five million, nine hundred fifty-three thousand, one hundred twenty".