1034160864 has 144 divisors (see below), whose sum is σ = 3160022544. Its totient is φ = 294891520.

The previous prime is 1034160821. The next prime is 1034160893. The reversal of 1034160864 is 4680614301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194854 + ... + 200090.

It is an arithmetic number, because the mean of its divisors is an integer number (21944601).

Almost surely, 2^1034160864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580011272).

1034160864 is an abundant number, since it is smaller than the sum of its proper divisors (2125861680).

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

1034160864 is a wasteful number, since it uses less digits than its factorization.

1034160864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1034160864 is about 32158.3716005646. The cubic root of 1034160864 is about 1011.2596980291.

The spelling of 1034160864 in words is "one billion, thirty-four million, one hundred sixty thousand, eight hundred sixty-four".