871200 has 162 divisors, whose sum is σ = 3376737. Its totient is φ = 211200.

The previous prime is 871181. The next prime is 871229. The reversal of 871200 is 2178.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 17424 = 924^2 + 132^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=660.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 871200.

It is an unprimeable number.

871200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79195 + ... + 79205.

2⁸⁷¹²⁰⁰ is an apocalyptic number.

871200 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 871200

871200 is an abundant number, since it is smaller than the sum of its proper divisors (2505537).

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

871200 is a wasteful number, since it uses less digits than its factorization.

871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 871200 is about 933.3809511662. The cubic root of 871200 is about 95.5078984358.

Multiplying 871200 by its sum of digits (18), we get a square (15681600 = 3960²).

871200 divided by its sum of digits (18) gives a square (48400 = 220²).

Adding to 871200 its reverse (2178), we get a palindrome (873378).

Multiplying 871200 by its reverse (2178), we get a square (1897473600 = 43560²).

871200 divided by its reverse (2178) gives a square (400 = 20²).

The spelling of 871200 in words is "eight hundred seventy-one thousand, two hundred".