1681056 has 72 divisors (see below), whose sum is σ = 5159700. Its totient is φ = 516096.

The previous prime is 1681033. The next prime is 1681061. The reversal of 1681056 is 6501861.

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 32400 = 1284^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3520 + ... + 3968.

2^1681056 is an apocalyptic number.

1681056 is a gapful number since it is divisible by the number (16) 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 1681056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579850).

1681056 is an abundant number, since it is smaller than the sum of its proper divisors (3478644).

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

1681056 is a wasteful number, since it uses less digits than its factorization.

1681056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1681056 is about 1296.5554365317. Note that the first 3 decimals coincide. The cubic root of 1681056 is about 118.9033417017.

Subtracting from 1681056 its product of nonzero digits (1440), we obtain a 8-th power (1679616 = 6⁸).

The spelling of 1681056 in words is "one million, six hundred eighty-one thousand, fifty-six".