1681048656 has 240 divisors, whose sum is σ = 5793914880. Its totient is φ = 444407040.

The previous prime is 1681048651. The next prime is 1681048657. The reversal of 1681048656 is 6568401861.

1681048656 is a `hidden beast` number, since 168 + 1 + 0 + 486 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681048651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717535 + ... + 719873.

It is an arithmetic number, because the mean of its divisors is an integer number (24141312).

Almost surely, 2^1681048656 is an apocalyptic number.

1681048656 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 1681048656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896957440).

1681048656 is an abundant number, since it is smaller than the sum of its proper divisors (4112866224).

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

1681048656 is a wasteful number, since it uses less digits than its factorization.

1681048656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2405 counting only the distinct ones).

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

The square root of 1681048656 is about 41000.5933615600. The cubic root of 1681048656 is about 1189.0316855115.

The spelling of 1681048656 in words is "one billion, six hundred eighty-one million, forty-eight thousand, six hundred fifty-six".