1038508680 has 256 divisors, whose sum is σ = 3599769600. Its totient is φ = 237312000.

The previous prime is 1038508661. The next prime is 1038508741. The reversal of 1038508680 is 868058301.

It is a happy number.

1038508680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1677411 + ... + 1678029.

It is an arithmetic number, because the mean of its divisors is an integer number (14061600).

Almost surely, 2^1038508680 is an apocalyptic number.

1038508680 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 1038508680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

1038508680 is an abundant number, since it is smaller than the sum of its proper divisors (2561260920).

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

1038508680 is a wasteful number, since it uses less digits than its factorization.

1038508680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1038508680 is about 32225.9007632060. The cubic root of 1038508680 is about 1012.6748949515.

The spelling of 1038508680 in words is "one billion, thirty-eight million, five hundred eight thousand, six hundred eighty".