82011600 has 360 divisors, whose sum is σ = 329815200. Its totient is φ = 18662400.

The previous prime is 82011599. The next prime is 82011637. The reversal of 82011600 is 611028.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 752346 + ... + 752454.

Almost surely, 2^82011600 is an apocalyptic number.

82011600 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 82011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164907600).

82011600 is an abundant number, since it is smaller than the sum of its proper divisors (247803600).

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

82011600 is a wasteful number, since it uses less digits than its factorization.

82011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 82011600 is about 9056.0256183383. The cubic root of 82011600 is about 434.4686337838.

Adding to 82011600 its reverse (611028), we get a palindrome (82622628).

It can be divided in two parts, 8201 and 1600, that added together give a square (9801 = 99²).

The spelling of 82011600 in words is "eighty-two million, eleven thousand, six hundred".