1603080000 has 420 divisors, whose sum is σ = 5915909428. Its totient is φ = 414720000.

The previous prime is 1603079987. The next prime is 1603080001. The reversal of 1603080000 is 803061.

It can be written as a sum of positive squares in 10 ways, for example, as 1517258304 + 85821696 = 38952^2 + 9264^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1603080001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21959964 + ... + 21960036.

Almost surely, 2^1603080000 is an apocalyptic number.

1603080000 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 1603080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957954714).

1603080000 is an abundant number, since it is smaller than the sum of its proper divisors (4312829428).

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

1603080000 is an equidigital number, since it uses as much as digits as its factorization.

1603080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1603080000 is about 40038.4814896869. The cubic root of 1603080000 is about 1170.3571121162.

Adding to 1603080000 its reverse (803061), we get a palindrome (1603883061).

The spelling of 1603080000 in words is "one billion, six hundred three million, eighty thousand".