1034204864 has 112 divisors (see below), whose sum is σ = 2602748160. Its totient is φ = 395996160.

The previous prime is 1034204851. The next prime is 1034204891. The reversal of 1034204864 is 4684024301.

1034204864 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1034204864.

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, 288974 + ... + 292530.

Almost surely, 2^1034204864 is an apocalyptic number.

1034204864 is a gapful number since it is divisible by the number (14) 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 1034204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301374080).

1034204864 is an abundant number, since it is smaller than the sum of its proper divisors (1568543296).

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

1034204864 is a wasteful number, since it uses less digits than its factorization.

1034204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 1034204864 is about 32159.0557075297. The cubic root of 1034204864 is about 1011.2740397037.

The spelling of 1034204864 in words is "one billion, thirty-four million, two hundred four thousand, eight hundred sixty-four".