7871344 has 60 divisors (see below), whose sum is σ = 17155152. Its totient is φ = 3494400.

The previous prime is 7871341. The next prime is 7871351. The reversal of 7871344 is 4431787.

7871344 = 418² + 419² + ... + 458².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7871341) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 110829 + ... + 110899.

Almost surely, 2^7871344 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 7871344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8577576).

7871344 is an abundant number, since it is smaller than the sum of its proper divisors (9283808).

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

7871344 is a wasteful number, since it uses less digits than its factorization.

7871344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 7871344 is about 2805.5915597250. The cubic root of 7871344 is about 198.9220674108.

The spelling of 7871344 in words is "seven million, eight hundred seventy-one thousand, three hundred forty-four".