5577600 has 192 divisors, whose sum is σ = 21248640. Its totient is φ = 1259520.

The previous prime is 5577577. The next prime is 5577601. The reversal of 5577600 is 67755.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5577600² = 62219243520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5577601) 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, 67159 + ... + 67241.

It is an arithmetic number, because the mean of its divisors is an integer number (110670).

Almost surely, 2^5577600 is an apocalyptic number.

5577600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624320).

5577600 is an abundant number, since it is smaller than the sum of its proper divisors (15671040).

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

5577600 is a wasteful number, since it uses less digits than its factorization.

5577600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 5577600 is about 2361.6943070601. The cubic root of 5577600 is about 177.3437095454.

The spelling of 5577600 in words is "five million, five hundred seventy-seven thousand, six hundred".