891200 has 42 divisors (see below), whose sum is σ = 2196846. Its totient is φ = 355840.

The previous prime is 891179. The next prime is 891223. The reversal of 891200 is 2198.

It can be written as a sum of positive squares in 3 ways, for example, as 64 + 891136 = 8^2 + 944^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

891200 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 5 ways as a sum of consecutive naturals, for example, 1322 + ... + 1878.

2⁸⁹¹²⁰⁰ is an apocalyptic number.

891200 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 891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098423).

891200 is an abundant number, since it is smaller than the sum of its proper divisors (1305646).

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

891200 is a wasteful number, since it uses less digits than its factorization.

891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 891200 is about 944.0338976965. The cubic root of 891200 is about 96.2332292138.

Adding to 891200 its reverse (2198), we get a palindrome (893398).

The spelling of 891200 in words is "eight hundred ninety-one thousand, two hundred".