1603868640 has 192 divisors, whose sum is σ = 5545532160. Its totient is φ = 386416640.

The previous prime is 1603868639. The next prime is 1603868681. The reversal of 1603868640 is 468683061.

It is a happy number.

It is a super-2 number, since 2×1603868640² = 5144789228750899200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1603868592 and 1603868601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944272 + ... + 945968.

It is an arithmetic number, because the mean of its divisors is an integer number (28882980).

Almost surely, 2^1603868640 is an apocalyptic number.

1603868640 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 1603868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772766080).

1603868640 is an abundant number, since it is smaller than the sum of its proper divisors (3941663520).

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

1603868640 is a wasteful number, since it uses less digits than its factorization.

1603868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 1603868640 is about 40048.3288040837. The cubic root of 1603868640 is about 1170.5490008799.

The spelling of 1603868640 in words is "one billion, six hundred three million, eight hundred sixty-eight thousand, six hundred forty".