841344 has 64 divisors (see below), whose sum is σ = 2562240. Its totient is φ = 239616.

The previous prime is 841333. The next prime is 841349. The reversal of 841344 is 443148.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (841349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2532 + ... + 2844.

It is an arithmetic number, because the mean of its divisors is an integer number (40035).

2⁸⁴¹³⁴⁴ is an apocalyptic number.

841344 is a gapful number since it is divisible by the number (84) 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 841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281120).

841344 is an abundant number, since it is smaller than the sum of its proper divisors (1720896).

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

841344 is a wasteful number, since it uses less digits than its factorization.

841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 841344 is about 917.2480580519. The cubic root of 841344 is about 94.4041748608.

It can be divided in two parts, 84 and 1344, that multiplied together give a square (112896 = 336²).

The spelling of 841344 in words is "eight hundred forty-one thousand, three hundred forty-four".