82271600 has 60 divisors (see below), whose sum is σ = 199964880. Its totient is φ = 32524800.

The previous prime is 82271597. The next prime is 82271639. The reversal of 82271600 is 617228.

It is a self number, because there is not a number n which added to its sum of digits gives 82271600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34445 + ... + 36755.

It is an arithmetic number, because the mean of its divisors is an integer number (3332748).

Almost surely, 2^82271600 is an apocalyptic number.

82271600 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 82271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99982440).

82271600 is an abundant number, since it is smaller than the sum of its proper divisors (117693280).

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

82271600 is a wasteful number, since it uses less digits than its factorization.

82271600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 82271600 is about 9070.3693419838. The cubic root of 82271600 is about 434.9272789873.

Adding to 82271600 its reverse (617228), we get a palindrome (82888828).

The spelling of 82271600 in words is "eighty-two million, two hundred seventy-one thousand, six hundred".