1681344 has 112 divisors (see below), whose sum is σ = 5689600. Its totient is φ = 476928.

The previous prime is 1681321. The next prime is 1681349. The reversal of 1681344 is 4431861.

It is a tau number, because it is divible by the number of its divisors (112).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12027 + ... + 12165.

It is an arithmetic number, because the mean of its divisors is an integer number (50800).

2^1681344 is an apocalyptic number.

1681344 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 1681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844800).

1681344 is an abundant number, since it is smaller than the sum of its proper divisors (4008256).

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

1681344 is a wasteful number, since it uses less digits than its factorization.

1681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

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

The square root of 1681344 is about 1296.6664952870. Note that the first 3 decimals coincide. The cubic root of 1681344 is about 118.9101315225.

It can be divided in two parts, 1681 and 344, that added together give a square (2025 = 45²).

The spelling of 1681344 in words is "one million, six hundred eighty-one thousand, three hundred forty-four".