1035809856 has 147 divisors (see below), whose sum is σ = 3102564661. Its totient is φ = 342952704.

The previous prime is 1035809821. The next prime is 1035809861. The reversal of 1035809856 is 6589085301.

The square root of 1035809856 is 32184.

It is a perfect power (a square), and thus also a powerful number.

1035809856 is a `hidden beast` number, since 10 + 3 + 580 + 9 + 8 + 56 = 666.

1035809856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 121352256 + 914457600 = 11016^2 + 30240^2 .

It is a super-3 number, since 3×1035809856³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6951670 + ... + 6951818.

Almost surely, 2^1035809856 is an apocalyptic number.

1035809856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1035809856 is the 32184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035809856

1035809856 is an abundant number, since it is smaller than the sum of its proper divisors (2066754805).

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

1035809856 is an frugal number, since it uses more digits than its factorization.

1035809856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The cubic root of 1035809856 is about 1011.7969044653.

The spelling of 1035809856 in words is "one billion, thirty-five million, eight hundred nine thousand, eight hundred fifty-six".