1681313088 has 336 divisors, whose sum is σ = 5691591360. Its totient is φ = 434036736.

The previous prime is 1681313063. The next prime is 1681313099. The reversal of 1681313088 is 8803131861.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7215820 + ... + 7216052.

It is an arithmetic number, because the mean of its divisors is an integer number (16939260).

Almost surely, 2^1681313088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845795680).

1681313088 is an abundant number, since it is smaller than the sum of its proper divisors (4010278272).

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

1681313088 is a wasteful number, since it uses less digits than its factorization.

1681313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1681313088 is about 41003.8179685746. The cubic root of 1681313088 is about 1189.0940278557.

The spelling of 1681313088 in words is "one billion, six hundred eighty-one million, three hundred thirteen thousand, eighty-eight".