1038024960 has 432 divisors, whose sum is σ = 4014939264. Its totient is φ = 223838208.

The previous prime is 1038024917. The next prime is 1038024971. The reversal of 1038024960 is 694208301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14219484 + ... + 14219556.

Almost surely, 2^1038024960 is an apocalyptic number.

1038024960 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 1038024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007469632).

1038024960 is an abundant number, since it is smaller than the sum of its proper divisors (2976914304).

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

1038024960 is an equidigital number, since it uses as much as digits as its factorization.

1038024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1038024960 is about 32218.3947458591. The cubic root of 1038024960 is about 1012.5176415155.

The spelling of 1038024960 in words is "one billion, thirty-eight million, twenty-four thousand, nine hundred sixty".