1005888 has 84 divisors (see below), whose sum is σ = 2974848. Its totient is φ = 299520.

The previous prime is 1005883. The next prime is 1005911. The reversal of 1005888 is 8885001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32433 + ... + 32463.

2^1005888 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 1005888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487424).

1005888 is an abundant number, since it is smaller than the sum of its proper divisors (1968960).

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

1005888 is a wasteful number, since it uses less digits than its factorization.

1005888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 1005888 is about 1002.9396791433. The cubic root of 1005888 is about 100.1958827157.

The spelling of 1005888 in words is "one million, five thousand, eight hundred eighty-eight".