1681319424 has 160 divisors (see below), whose sum is σ = 4808263680. Its totient is φ = 520445952.

The previous prime is 1681319377. The next prime is 1681319449. The reversal of 1681319424 is 4249131861.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1546209 + ... + 1547295.

It is an arithmetic number, because the mean of its divisors is an integer number (30051648).

Almost surely, 2^1681319424 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 1681319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404131840).

1681319424 is an abundant number, since it is smaller than the sum of its proper divisors (3126944256).

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

1681319424 is a wasteful number, since it uses less digits than its factorization.

1681319424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1164 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 1681319424 is about 41003.8952295998. The cubic root of 1681319424 is about 1189.0955215474.

The spelling of 1681319424 in words is "one billion, six hundred eighty-one million, three hundred nineteen thousand, four hundred twenty-four".