10871200 has 72 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 4273920.

The previous prime is 10871197. The next prime is 10871209. The reversal of 10871200 is 217801.

It is not an unprimeable number, because it can be changed into a prime (10871209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85537 + ... + 85663.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 2^10871200 is an apocalyptic number.

10871200 is a gapful number since it is divisible by the number (10) 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 10871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136).

10871200 is an abundant number, since it is smaller than the sum of its proper divisors (16127072).

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

10871200 is a wasteful number, since it uses less digits than its factorization.

10871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 10871200 is about 3297.1502847156. The cubic root of 10871200 is about 221.5265727436.

The spelling of 10871200 in words is "ten million, eight hundred seventy-one thousand, two hundred".