5888800 has 72 divisors (see below), whose sum is σ = 15256836. Its totient is φ = 2211840.

The previous prime is 5888741. The next prime is 5888873. The reversal of 5888800 is 88885.

It can be written as a sum of positive squares in 6 ways, for example, as 1710864 + 4177936 = 1308^2 + 2044^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5888800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13384 + ... + 13816.

Almost surely, 2^5888800 is an apocalyptic number.

5888800 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 5888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628418).

5888800 is an abundant number, since it is smaller than the sum of its proper divisors (9368036).

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

5888800 is a wasteful number, since it uses less digits than its factorization.

5888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 5888800 is about 2426.6849816159. The cubic root of 5888800 is about 180.5824752324.

The spelling of 5888800 in words is "five million, eight hundred eighty-eight thousand, eight hundred".