1034881680 has 240 divisors, whose sum is σ = 3794435712. Its totient is φ = 228556800.

The previous prime is 1034881669. The next prime is 1034881709. The reversal of 1034881680 is 861884301.

1034881680 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 (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1614160 + ... + 1614800.

Almost surely, 2^1034881680 is an apocalyptic number.

1034881680 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 1034881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897217856).

1034881680 is an abundant number, since it is smaller than the sum of its proper divisors (2759554032).

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

1034881680 is a wasteful number, since it uses less digits than its factorization.

1034881680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1034881680 is about 32169.5769322508. The cubic root of 1034881680 is about 1011.4945947152.

The spelling of 1034881680 in words is "one billion, thirty-four million, eight hundred eighty-one thousand, six hundred eighty".