1603630080 has 264 divisors, whose sum is σ = 5986197672. Its totient is φ = 394592256.

The previous prime is 1603630057. The next prime is 1603630087. The reversal of 1603630080 is 800363061.

It can be written as a sum of positive squares in 4 ways, for example, as 61968384 + 1541661696 = 7872^2 + 39264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1603630087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597702 + ... + 600378.

Almost surely, 2^1603630080 is an apocalyptic number.

1603630080 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 1603630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993098836).

1603630080 is an abundant number, since it is smaller than the sum of its proper divisors (4382567592).

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

1603630080 is a wasteful number, since it uses less digits than its factorization.

1603630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1603630080 is about 40045.3502918878. The cubic root of 1603630080 is about 1170.4909620421.

The spelling of 1603630080 in words is "one billion, six hundred three million, six hundred thirty thousand, eighty".