5577564 has 48 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1656576.

The previous prime is 5577529. The next prime is 5577577. The reversal of 5577564 is 4657755.

It is a super-3 number, since 3×5577564³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3157 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^5577564 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 5577564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

5577564 is an abundant number, since it is smaller than the sum of its proper divisors (8937636).

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

5577564 is a wasteful number, since it uses less digits than its factorization.

5577564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1480 counting only the distinct ones).

The product of its digits is 147000, while the sum is 39.

The square root of 5577564 is about 2361.6866854009. The cubic root of 5577564 is about 177.3433279962.

The spelling of 5577564 in words is "five million, five hundred seventy-seven thousand, five hundred sixty-four".