5541600 has 72 divisors (see below), whose sum is σ = 18045720. Its totient is φ = 1477120.

The previous prime is 5541587. The next prime is 5541607. The reversal of 5541600 is 61455.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5541607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1246 + ... + 3554.

It is an arithmetic number, because the mean of its divisors is an integer number (250635).

Almost surely, 2^5541600 is an apocalyptic number.

5541600 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 5541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022860).

5541600 is an abundant number, since it is smaller than the sum of its proper divisors (12504120).

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

5541600 is a wasteful number, since it uses less digits than its factorization.

5541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5541600 is about 2354.0603220818. The cubic root of 5541600 is about 176.9613372734.

The spelling of 5541600 in words is "five million, five hundred forty-one thousand, six hundred".