982195200 has 792 divisors, whose sum is σ = 4340458800. Its totient is φ = 216760320.

The previous prime is 982195199. The next prime is 982195223. The reversal of 982195200 is 2591289.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33868786 + ... + 33868814.

Almost surely, 2^982195200 is an apocalyptic number.

982195200 is a gapful number since it is divisible by the number (90) 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 982195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170229400).

982195200 is an abundant number, since it is smaller than the sum of its proper divisors (3358263600).

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

982195200 is a wasteful number, since it uses less digits than its factorization.

982195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 982195200 is about 31339.9936183784. The cubic root of 982195200 is about 994.0294906281.

The spelling of 982195200 in words is "nine hundred eighty-two million, one hundred ninety-five thousand, two hundred".