7681344 has 56 divisors (see below), whose sum is σ = 22177248. Its totient is φ = 2327040.

The previous prime is 7681337. The next prime is 7681357. The reversal of 7681344 is 4431867.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294 + ... + 3930.

Almost surely, 2^7681344 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 7681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088624).

7681344 is an abundant number, since it is smaller than the sum of its proper divisors (14495904).

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

7681344 is a wasteful number, since it uses less digits than its factorization.

7681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3653 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 7681344 is about 2771.5237686154. The cubic root of 7681344 is about 197.3084742648.

Multiplying 7681344 by its sum of digits (33), we get a palindrome (253484352).

It can be divided in two parts, 768 and 1344, that added together give a palindrome (2112).

The spelling of 7681344 in words is "seven million, six hundred eighty-one thousand, three hundred forty-four".