5536000 has 72 divisors (see below), whose sum is σ = 13870584. Its totient is φ = 2201600.

The previous prime is 5535991. The next prime is 5536019. The reversal of 5536000 is 6355.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 5531904 = 64^2 + 2352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31914 + ... + 32086.

It is an arithmetic number, because the mean of its divisors is an integer number (192647).

Almost surely, 2^5536000 is an apocalyptic number.

5536000 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 5536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935292).

5536000 is an abundant number, since it is smaller than the sum of its proper divisors (8334584).

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

5536000 is an equidigital number, since it uses as much as digits as its factorization.

5536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 5536000 is about 2352.8705871764. The cubic root of 5536000 is about 176.9017084367.

The spelling of 5536000 in words is "five million, five hundred thirty-six thousand".