1003168140 has 96 divisors (see below), whose sum is σ = 3031680960. Its totient is φ = 246383616.

The previous prime is 1003168139. The next prime is 1003168169. The reversal of 1003168140 is 418613001.

1003168140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1003168140² = 2012692634222119200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1003168140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433306 + ... + 435614.

It is an arithmetic number, because the mean of its divisors is an integer number (31580010).

Almost surely, 2^1003168140 is an apocalyptic number.

1003168140 is a gapful number since it is divisible by the number (10) 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 1003168140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515840480).

1003168140 is an abundant number, since it is smaller than the sum of its proper divisors (2028512820).

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

1003168140 is a wasteful number, since it uses less digits than its factorization.

1003168140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1003168140 is about 31672.8296809742. The cubic root of 1003168140 is about 1001.0549333909.

The spelling of 1003168140 in words is "one billion, three million, one hundred sixty-eight thousand, one hundred forty".