5577840 has 120 divisors (see below), whose sum is σ = 19189248. Its totient is φ = 1451520.

The previous prime is 5577839. The next prime is 5577851. The reversal of 5577840 is 487755.

5577840 is a `hidden beast` number, since 5 + 577 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5577840² = 62224598131200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5577795 and 5577804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43857 + ... + 43983.

Almost surely, 2^5577840 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 5577840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9594624).

5577840 is an abundant number, since it is smaller than the sum of its proper divisors (13611408).

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

5577840 is a wasteful number, since it uses less digits than its factorization.

5577840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5577840 is about 2361.7451174926. The cubic root of 5577840 is about 177.3462531651.

The spelling of 5577840 in words is "five million, five hundred seventy-seven thousand, eight hundred forty".