1038645608 has 144 divisors (see below), whose sum is σ = 2651977440. Its totient is φ = 373127040.

The previous prime is 1038645563. The next prime is 1038645623. The reversal of 1038645608 is 8065468301.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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, 1144691 + ... + 1145597.

It is an arithmetic number, because the mean of its divisors is an integer number (18416510).

Almost surely, 2^1038645608 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 1038645608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325988720).

1038645608 is an abundant number, since it is smaller than the sum of its proper divisors (1613331832).

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

1038645608 is a wasteful number, since it uses less digits than its factorization.

1038645608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 1038645608 is about 32228.0251954723. The cubic root of 1038645608 is about 1012.7194002621.

It can be divided in two parts, 1038 and 645608, that added together give a palindrome (646646).

The spelling of 1038645608 in words is "one billion, thirty-eight million, six hundred forty-five thousand, six hundred eight".