1603772820 has 108 divisors (see below), whose sum is σ = 5267876796. Its totient is φ = 394767360.

The previous prime is 1603772813. The next prime is 1603772857. The reversal of 1603772820 is 282773061.

1603772820 is a `hidden beast` number, since 1 + 6 + 0 + 377 + 282 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 669981456 + 933791364 = 25884^2 + 30558^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 4060 + ... + 56780.

It is an arithmetic number, because the mean of its divisors is an integer number (48776637).

Almost surely, 2^1603772820 is an apocalyptic number.

1603772820 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 1603772820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633938398).

1603772820 is an abundant number, since it is smaller than the sum of its proper divisors (3664103976).

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

1603772820 is a wasteful number, since it uses less digits than its factorization.

1603772820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52762 (or 52744 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1603772820 is about 40047.1324816147. The cubic root of 1603772820 is about 1170.5256896943.

The spelling of 1603772820 in words is "one billion, six hundred three million, seven hundred seventy-two thousand, eight hundred twenty".