1024104960 has 120 divisors (see below), whose sum is σ = 3546843300. Its totient is φ = 273088512.

The previous prime is 1024104943. The next prime is 1024104979. The reversal of 1024104960 is 694014201.

It can be written as a sum of positive squares in 2 ways, for example, as 1006665984 + 17438976 = 31728^2 + 4176^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 816 + ... + 45264.

Almost surely, 2^1024104960 is an apocalyptic number.

1024104960 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 1024104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773421650).

1024104960 is an abundant number, since it is smaller than the sum of its proper divisors (2522738340).

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

1024104960 is an equidigital number, since it uses as much as digits as its factorization.

1024104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44478 (or 44459 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1024104960 is about 32001.6399579772. The cubic root of 1024104960 is about 1007.9712765814.

The spelling of 1024104960 in words is "one billion, twenty-four million, one hundred four thousand, nine hundred sixty".