1603641824 has 48 divisors (see below), whose sum is σ = 3348248400. Its totient is φ = 753444864.

The previous prime is 1603641763. The next prime is 1603641869. The reversal of 1603641824 is 4281463061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400022 + ... + 404010.

It is an arithmetic number, because the mean of its divisors is an integer number (69755175).

Almost surely, 2^1603641824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1603641824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674124200).

1603641824 is an abundant number, since it is smaller than the sum of its proper divisors (1744606576).

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

1603641824 is a wasteful number, since it uses less digits than its factorization.

1603641824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 1603641824 is about 40045.4969253723. The cubic root of 1603641824 is about 1170.4938193536.

The spelling of 1603641824 in words is "one billion, six hundred three million, six hundred forty-one thousand, eight hundred twenty-four".