5689120 has 72 divisors (see below), whose sum is σ = 14263452. Its totient is φ = 2142720.

The previous prime is 5689111. The next prime is 5689121. The reversal of 5689120 is 219865.

It can be written as a sum of positive squares in 2 ways, for example, as 5550736 + 138384 = 2356^2 + 372^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (5689121) 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, 153742 + ... + 153778.

Almost surely, 2^5689120 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 5689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131726).

5689120 is an abundant number, since it is smaller than the sum of its proper divisors (8574332).

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

5689120 is a wasteful number, since it uses less digits than its factorization.

5689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 5689120 is about 2385.1876236472. The cubic root of 5689120 is about 178.5178707193.

The spelling of 5689120 in words is "five million, six hundred eighty-nine thousand, one hundred twenty".