8197200 has 300 divisors, whose sum is σ = 33488928. Its totient is φ = 1900800.

The previous prime is 8197199. The next prime is 8197201. The reversal of 8197200 is 27918.

It is an interprime number because it is at equal distance from previous prime (8197199) and next prime (8197201).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8197201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 356389 + ... + 356411.

Almost surely, 2^8197200 is an apocalyptic number.

8197200 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 8197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744464).

8197200 is an abundant number, since it is smaller than the sum of its proper divisors (25291728).

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

8197200 is a wasteful number, since it uses less digits than its factorization.

8197200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 44 counting only the distinct ones).

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

The square root of 8197200 is about 2863.0752697056. The cubic root of 8197200 is about 201.6300125386.

The spelling of 8197200 in words is "eight million, one hundred ninety-seven thousand, two hundred".