82081626 has 64 divisors (see below), whose sum is σ = 184757760. Its totient is φ = 24100160.

The previous prime is 82081621. The next prime is 82081663. The reversal of 82081626 is 62618028.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82081621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416560 + ... + 416756.

It is an arithmetic number, because the mean of its divisors is an integer number (2886840).

Almost surely, 2^82081626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82081626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92378880).

82081626 is an abundant number, since it is smaller than the sum of its proper divisors (102676134).

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

82081626 is a wasteful number, since it uses less digits than its factorization.

82081626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 82081626 is about 9059.8910589477. The cubic root of 82081626 is about 434.5922563177.

The spelling of 82081626 in words is "eighty-two million, eighty-one thousand, six hundred twenty-six".