5677580 has 48 divisors (see below), whose sum is σ = 12794880. Its totient is φ = 2109888.

The previous prime is 5677571. The next prime is 5677583. The reversal of 5677580 is 857765.

5677580 = 35² + 36² + ... + 257².

5677580 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (5677583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25349 + ... + 25571.

It is an arithmetic number, because the mean of its divisors is an integer number (266560).

Almost surely, 2^5677580 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 5677580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397440).

5677580 is an abundant number, since it is smaller than the sum of its proper divisors (7117300).

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

5677580 is a wasteful number, since it uses less digits than its factorization.

5677580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 5677580 is about 2382.7672987516. The cubic root of 5677580 is about 178.3970851542.

The spelling of 5677580 in words is "five million, six hundred seventy-seven thousand, five hundred eighty".