841200 has 60 divisors (see below), whose sum is σ = 2698488. Its totient is φ = 224000.

The previous prime is 841193. The next prime is 841207. The reversal of 841200 is 2148.

It is an interprime number because it is at equal distance from previous prime (841193) and next prime (841207).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 841200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (841207) by changing a digit.

841200 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 850 + ... + 1550.

2⁸⁴¹²⁰⁰ is an apocalyptic number.

841200 is a gapful number since it is divisible by the number (80) 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 841200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349244).

841200 is an abundant number, since it is smaller than the sum of its proper divisors (1857288).

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

841200 is a wasteful number, since it uses less digits than its factorization.

841200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 841200 is about 917.1695590238. The cubic root of 841200 is about 94.3987886467.

Adding to 841200 its reverse (2148), we get a palindrome (843348).

The spelling of 841200 in words is "eight hundred forty-one thousand, two hundred".