5577640 has 64 divisors (see below), whose sum is σ = 13608000. Its totient is φ = 2050560.

The previous prime is 5577623. The next prime is 5577643. The reversal of 5577640 is 467755.

It is a super-2 number, since 2×5577640² = 62220135939200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5577596 and 5577605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5577643) 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 15 ways as a sum of consecutive naturals, for example, 31071 + ... + 31249.

It is an arithmetic number, because the mean of its divisors is an integer number (212625).

Almost surely, 2^5577640 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 5577640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804000).

5577640 is an abundant number, since it is smaller than the sum of its proper divisors (8030360).

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

5577640 is a wasteful number, since it uses less digits than its factorization.

5577640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 5577640 is about 2361.7027755414. The cubic root of 5577640 is about 177.3441334871.

The spelling of 5577640 in words is "five million, five hundred seventy-seven thousand, six hundred forty".