1681392384 has 576 divisors, whose sum is σ = 6279168000. Its totient is φ = 432967680.

The previous prime is 1681392379. The next prime is 1681392397. The reversal of 1681392384 is 4832931861.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28498147 + ... + 28498205.

Almost surely, 2^1681392384 is an apocalyptic number.

1681392384 is a gapful number since it is divisible by the number (14) 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 1681392384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139584000).

1681392384 is an abundant number, since it is smaller than the sum of its proper divisors (4597775616).

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

1681392384 is a wasteful number, since it uses less digits than its factorization.

1681392384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1681392384 is about 41004.7848915221. The cubic root of 1681392384 is about 1189.1127213634.

The spelling of 1681392384 in words is "one billion, six hundred eighty-one million, three hundred ninety-two thousand, three hundred eighty-four".