8971200 has 252 divisors, whose sum is σ = 36850320. Its totient is φ = 2027520.

The previous prime is 8971181. The next prime is 8971213. The reversal of 8971200 is 21798.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100756 + ... + 100844.

Almost surely, 2^8971200 is an apocalyptic number.

8971200 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 8971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425160).

8971200 is an abundant number, since it is smaller than the sum of its proper divisors (27879120).

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

8971200 is a wasteful number, since it uses less digits than its factorization.

8971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8971200 is about 2995.1961538437. The cubic root of 8971200 is about 207.7862696084.

Adding to 8971200 its reverse (21798), we get a palindrome (8992998).

It can be divided in two parts, 89 and 71200, that added together give a square (71289 = 267²).

The spelling of 8971200 in words is "eight million, nine hundred seventy-one thousand, two hundred".