1681384320 has 768 divisors, whose sum is σ = 7698862080. Its totient is φ = 327352320.

The previous prime is 1681384319. The next prime is 1681384321. The reversal of 1681384320 is 234831861.

It is an interprime number because it is at equal distance from previous prime (1681384319) and next prime (1681384321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681384321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7539729 + ... + 7539951.

It is an arithmetic number, because the mean of its divisors is an integer number (10024560).

Almost surely, 2^1681384320 is an apocalyptic number.

1681384320 is a gapful number since it is divisible by the number (10) 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 1681384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849431040).

1681384320 is an abundant number, since it is smaller than the sum of its proper divisors (6017477760).

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

1681384320 is a wasteful number, since it uses less digits than its factorization.

1681384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1681384320 is about 41004.6865614164. The cubic root of 1681384320 is about 1189.1108203556.

The spelling of 1681384320 in words is "one billion, six hundred eighty-one million, three hundred eighty-four thousand, three hundred twenty".