1034966880 has 144 divisors (see below), whose sum is σ = 3685500000. Its totient is φ = 263983104.

The previous prime is 1034966873. The next prime is 1034966909. The reversal of 1034966880 is 886694301.

1034966880 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 (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 17496 + ... + 48744.

It is an arithmetic number, because the mean of its divisors is an integer number (25593750).

Almost surely, 2^1034966880 is an apocalyptic number.

1034966880 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 1034966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842750000).

1034966880 is an abundant number, since it is smaller than the sum of its proper divisors (2650533120).

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

1034966880 is a wasteful number, since it uses less digits than its factorization.

1034966880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31293 (or 31282 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1034966880 is about 32170.9011375187. The cubic root of 1034966880 is about 1011.5223521475.

The spelling of 1034966880 in words is "one billion, thirty-four million, nine hundred sixty-six thousand, eight hundred eighty".