5882900 has 36 divisors (see below), whose sum is σ = 12928860. Its totient is φ = 2323200.

The previous prime is 5882887. The next prime is 5882923. The reversal of 5882900 is 92885.

It can be written as a sum of positive squares in 6 ways, for example, as 132496 + 5750404 = 364^2 + 2398^2 .

It is a congruent number.

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, 8570 + ... + 9230.

It is an arithmetic number, because the mean of its divisors is an integer number (359135).

Almost surely, 2^5882900 is an apocalyptic number.

5882900 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 5882900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464430).

5882900 is an abundant number, since it is smaller than the sum of its proper divisors (7045960).

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

5882900 is a wasteful number, since it uses less digits than its factorization.

5882900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 5882900 is about 2425.4690268070. The cubic root of 5882900 is about 180.5221464374.

The spelling of 5882900 in words is "five million, eight hundred eighty-two thousand, nine hundred".