1039800960 has 192 divisors, whose sum is σ = 3917216160. Its totient is φ = 252057600.

The previous prime is 1039800947. The next prime is 1039800991. The reversal of 1039800960 is 690089301.

1039800960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55155 + ... + 71565.

Almost surely, 2^1039800960 is an apocalyptic number.

1039800960 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 1039800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958608080).

1039800960 is an abundant number, since it is smaller than the sum of its proper divisors (2877415200).

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

1039800960 is a wasteful number, since it uses less digits than its factorization.

1039800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16447 (or 16432 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1039800960 is about 32245.9448613310. The cubic root of 1039800960 is about 1013.0947653221.

The spelling of 1039800960 in words is "one billion, thirty-nine million, eight hundred thousand, nine hundred sixty".