5757120 has 84 divisors (see below), whose sum is σ = 19812000. Its totient is φ = 1534464.

The previous prime is 5757091. The next prime is 5757121. The reversal of 5757120 is 217575.

5757120 is a `hidden beast` number, since 575 + 71 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (5757121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1881 + ... + 3879.

Almost surely, 2^5757120 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 5757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906000).

5757120 is an abundant number, since it is smaller than the sum of its proper divisors (14054880).

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

5757120 is a wasteful number, since it uses less digits than its factorization.

5757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 5757120 is about 2399.3999249812. The cubic root of 5757120 is about 179.2263088499.

The spelling of 5757120 in words is "five million, seven hundred fifty-seven thousand, one hundred twenty".