1681628256 has 576 divisors, whose sum is σ = 6536194560. Its totient is φ = 415134720.

The previous prime is 1681628237. The next prime is 1681628293. The reversal of 1681628256 is 6528261861.

1681628256 is a `hidden beast` number, since 16 + 8 + 1 + 628 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10710930 + ... + 10711086.

It is an arithmetic number, because the mean of its divisors is an integer number (11347560).

Almost surely, 2^1681628256 is an apocalyptic number.

1681628256 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 1681628256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268097280).

1681628256 is an abundant number, since it is smaller than the sum of its proper divisors (4854566304).

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

1681628256 is a wasteful number, since it uses less digits than its factorization.

1681628256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1681628256 is about 41007.6609428043. The cubic root of 1681628256 is about 1189.1683231539.

The spelling of 1681628256 in words is "one billion, six hundred eighty-one million, six hundred twenty-eight thousand, two hundred fifty-six".