1588288 has 56 divisors (see below), whose sum is σ = 3584448. Its totient is φ = 692736.

The previous prime is 1588273. The next prime is 1588289. The reversal of 1588288 is 8828851.

It is a self number, because there is not a number n which added to its sum of digits gives 1588288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1588289) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19095 + ... + 19177.

It is an arithmetic number, because the mean of its divisors is an integer number (64008).

2^1588288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1588288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792224).

1588288 is an abundant number, since it is smaller than the sum of its proper divisors (1996160).

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

1588288 is a wasteful number, since it uses less digits than its factorization.

1588288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its digits is 40960, while the sum is 40.

The square root of 1588288 is about 1260.2729863010. The cubic root of 1588288 is about 116.6746262143.

It can be divided in two parts, 1 and 588288, that added together give a square (588289 = 767²).

The spelling of 1588288 in words is "one million, five hundred eighty-eight thousand, two hundred eighty-eight".