82161200 has 120 divisors (see below), whose sum is σ = 219200256. Its totient is φ = 29344000.

The previous prime is 82161199. The next prime is 82161203. The reversal of 82161200 is 216128.

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

It is not an unprimeable number, because it can be changed into a prime (82161203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312269 + ... + 312531.

Almost surely, 2^82161200 is an apocalyptic number.

82161200 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 82161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109600128).

82161200 is an abundant number, since it is smaller than the sum of its proper divisors (137039056).

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

82161200 is a wasteful number, since it uses less digits than its factorization.

82161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 82161200 is about 9064.2815490253. The cubic root of 82161200 is about 434.7326493900.

Adding to 82161200 its reverse (216128), we get a palindrome (82377328).

The spelling of 82161200 in words is "eighty-two million, one hundred sixty-one thousand, two hundred".