1082146816 has 45 divisors (see below), whose sum is σ = 2172681469. Its totient is φ = 538968064.

The previous prime is 1082146801. The next prime is 1082146823. The reversal of 1082146816 is 6186412801.

1082146816 = 1³ + 2³ + ... + 256³.

The square root of 1082146816 is 32896.

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

It can be written as a sum of positive squares in only one way, i.e., 1065369600 + 16777216 = 32640^2 + 4096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4210560 + ... + 4210816.

Almost surely, 2^1082146816 is an apocalyptic number.

1082146816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1082146816 is the 32896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082146816

1082146816 is an abundant number, since it is smaller than the sum of its proper divisors (1090534653).

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

1082146816 is an frugal number, since it uses more digits than its factorization.

1082146816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The cubic root of 1082146816 is about 1026.6649335628.

The spelling of 1082146816 in words is "one billion, eighty-two million, one hundred forty-six thousand, eight hundred sixteen".