1003089888 has 72 divisors (see below), whose sum is σ = 2873471328. Its totient is φ = 331909632.

The previous prime is 1003089859. The next prime is 1003089889. The reversal of 1003089888 is 8889803001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003089889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26745 + ... + 52167.

It is an arithmetic number, because the mean of its divisors is an integer number (39909324).

Almost surely, 2^1003089888 is an apocalyptic number.

1003089888 is a gapful number since it is divisible by the number (18) 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 1003089888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436735664).

1003089888 is an abundant number, since it is smaller than the sum of its proper divisors (1870381440).

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

1003089888 is a wasteful number, since it uses less digits than its factorization.

1003089888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25576 (or 25565 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1003089888 is about 31671.5943394077. The cubic root of 1003089888 is about 1001.0289036608.

The spelling of 1003089888 in words is "one billion, three million, eighty-nine thousand, eight hundred eighty-eight".