5677120 has 56 divisors (see below), whose sum is σ = 13725144. Its totient is φ = 2236416.

The previous prime is 5677097. The next prime is 5677121. The reversal of 5677120 is 217765.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 5607424 = 264^2 + 2368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5677121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36082 + ... + 36238.

Almost surely, 2^5677120 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 5677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862572).

5677120 is an abundant number, since it is smaller than the sum of its proper divisors (8048024).

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

5677120 is a wasteful number, since it uses less digits than its factorization.

5677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 5677120 is about 2382.6707703751. The cubic root of 5677120 is about 178.3922670876.

It can be divided in two parts, 5 and 677120, that multiplied together give a square (3385600 = 1840²).

The spelling of 5677120 in words is "five million, six hundred seventy-seven thousand, one hundred twenty".