1681344000 has 640 divisors, whose sum is σ = 7149542400. Its totient is φ = 381542400.

The previous prime is 1681343981. The next prime is 1681344017. The reversal of 1681344000 is 4431861.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12095931 + ... + 12096069.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2^1681344000 is an apocalyptic number.

1681344000 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 1681344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574771200).

1681344000 is an abundant number, since it is smaller than the sum of its proper divisors (5468198400).

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

1681344000 is an equidigital number, since it uses as much as digits as its factorization.

1681344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1681344000 is about 41004.1949073506. The cubic root of 1681344000 is about 1189.1013152252.

Adding to 1681344000 its reverse (4431861), we get a palindrome (1685775861).

The spelling of 1681344000 in words is "one billion, six hundred eighty-one million, three hundred forty-four thousand".