5577408 has 84 divisors (see below), whose sum is σ = 16721328. Its totient is φ = 1774080.

The previous prime is 5577389. The next prime is 5577437. The reversal of 5577408 is 8047755.

It is a super-2 number, since 2×5577408² = 62214959996928, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13038 + ... + 13458.

Almost surely, 2^5577408 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 5577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360664).

5577408 is an abundant number, since it is smaller than the sum of its proper divisors (11143920).

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

5577408 is a wasteful number, since it uses less digits than its factorization.

5577408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

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

The square root of 5577408 is about 2361.6536579270. The cubic root of 5577408 is about 177.3416745971.

The spelling of 5577408 in words is "five million, five hundred seventy-seven thousand, four hundred eight".