5081600 has 60 divisors (see below), whose sum is σ = 12621774. Its totient is φ = 2027520.

The previous prime is 5081599. The next prime is 5081627. The reversal of 5081600 is 61805.

It can be written as a sum of positive squares in 3 ways, for example, as 4129024 + 952576 = 2032^2 + 976^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12602 + ... + 12998.

Almost surely, 2^5081600 is an apocalyptic number.

5081600 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 5081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310887).

5081600 is an abundant number, since it is smaller than the sum of its proper divisors (7540174).

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

5081600 is an equidigital number, since it uses as much as digits as its factorization.

5081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 5081600 is about 2254.2404485769. The cubic root of 5081600 is about 171.9228065362.

The spelling of 5081600 in words is "five million, eighty-one thousand, six hundred".