1034485760 has 272 divisors, whose sum is σ = 3170869632. Its totient is φ = 314572800.

The previous prime is 1034485759. The next prime is 1034485783. The reversal of 1034485760 is 675844301.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25231340 + ... + 25231380.

Almost surely, 2^1034485760 is an apocalyptic number.

1034485760 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 1034485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585434816).

1034485760 is an abundant number, since it is smaller than the sum of its proper divisors (2136383872).

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

1034485760 is an frugal number, since it uses more digits than its factorization.

1034485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 1034485760 is about 32163.4227034375. The cubic root of 1034485760 is about 1011.3655873679.

The spelling of 1034485760 in words is "one billion, thirty-four million, four hundred eighty-five thousand, seven hundred sixty".