1039944960 has 144 divisors (see below), whose sum is σ = 3690482880. Its totient is φ = 277309440.

The previous prime is 1039944953. The next prime is 1039944967. The reversal of 1039944960 is 694499301.

1039944960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1039944953) and next prime (1039944967).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1039944967) 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, 19515 + ... + 49605.

Almost surely, 2^1039944960 is an apocalyptic number.

1039944960 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 1039944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845241440).

1039944960 is an abundant number, since it is smaller than the sum of its proper divisors (2650537920).

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

1039944960 is an equidigital number, since it uses as much as digits as its factorization.

1039944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30121 (or 30101 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1039944960 is about 32248.1776229293. The cubic root of 1039944960 is about 1013.1415303338.

The spelling of 1039944960 in words is "one billion, thirty-nine million, nine hundred forty-four thousand, nine hundred sixty".