5988100 has 36 divisors (see below), whose sum is σ = 13100724. Its totient is φ = 2375680.

The previous prime is 5988083. The next prime is 5988113. The reversal of 5988100 is 18895.

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 5982916 = 72^2 + 2446^2 .

It is a super-2 number, since 2×5988100² = 71714683220000, which contains 22 as substring.

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, 23172 + ... + 23428.

It is an arithmetic number, because the mean of its divisors is an integer number (363909).

Almost surely, 2^5988100 is an apocalyptic number.

5988100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5988100 is an abundant number, since it is smaller than the sum of its proper divisors (7112624).

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

5988100 is a wasteful number, since it uses less digits than its factorization.

5988100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 5988100 is about 2447.0594598415. The cubic root of 5988100 is about 181.5918479137.

The spelling of 5988100 in words is "five million, nine hundred eighty-eight thousand, one hundred".