5577084 has 72 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1752192.

The previous prime is 5577083. The next prime is 5577149. The reversal of 5577084 is 4807755.

5577084 = T₄₃₂ + T₄₃₃ + ... + T₄₈₄.

5577084 is a `hidden beast` number, since 5 + 577 + 0 + 84 = 666.

It is a super-2 number, since 2×5577084² = 62207731886112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5577083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70557 + ... + 70635.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 2^5577084 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 5577084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

5577084 is an abundant number, since it is smaller than the sum of its proper divisors (9361476).

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

5577084 is a wasteful number, since it uses less digits than its factorization.

5577084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

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

The square root of 5577084 is about 2361.5850609284. The cubic root of 5577084 is about 177.3382405160.

The spelling of 5577084 in words is "five million, five hundred seventy-seven thousand, eighty-four".