82027944 has 64 divisors (see below), whose sum is σ = 228782400. Its totient is φ = 27231552.

The previous prime is 82027937. The next prime is 82027949. The reversal of 82027944 is 44972028.

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

It is a junction number, because it is equal to n+sod(n) for n = 82027899 and 82027908.

It is not an unprimeable number, because it can be changed into a prime (82027949) 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 15 ways as a sum of consecutive naturals, for example, 65694 + ... + 66930.

It is an arithmetic number, because the mean of its divisors is an integer number (3574725).

Almost surely, 2^82027944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82027944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114391200).

82027944 is an abundant number, since it is smaller than the sum of its proper divisors (146754456).

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

82027944 is a wasteful number, since it uses less digits than its factorization.

82027944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82027944 is about 9056.9279559904. The cubic root of 82027944 is about 434.4974934560.

The spelling of 82027944 in words is "eighty-two million, twenty-seven thousand, nine hundred forty-four".