1003641036 has 48 divisors (see below), whose sum is σ = 2485002240. Its totient is φ = 314179840.

The previous prime is 1003641031. The next prime is 1003641049. The reversal of 1003641036 is 6301463001.

It is a junction number, because it is equal to n+sod(n) for n = 1003640997 and 1003641015.

It is not an unprimeable number, because it can be changed into a prime (1003641031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92581 + ... + 102851.

It is an arithmetic number, because the mean of its divisors is an integer number (51770880).

Almost surely, 2^1003641036 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 1003641036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242501120).

1003641036 is an abundant number, since it is smaller than the sum of its proper divisors (1481361204).

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

1003641036 is a wasteful number, since it uses less digits than its factorization.

1003641036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10772 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1003641036 is about 31680.2941274225. The cubic root of 1003641036 is about 1001.2122086232.

The spelling of 1003641036 in words is "one billion, three million, six hundred forty-one thousand, thirty-six".