82661000 has 64 divisors (see below), whose sum is σ = 195212160. Its totient is φ = 32760000.

The previous prime is 82660993. The next prime is 82661009. The reversal of 82661000 is 16628.

It is not an unprimeable number, because it can be changed into a prime (82661009) 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, 130685 + ... + 131315.

It is an arithmetic number, because the mean of its divisors is an integer number (3050190).

Almost surely, 2^82661000 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 82661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97606080).

82661000 is an abundant number, since it is smaller than the sum of its proper divisors (112551160).

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

82661000 is a wasteful number, since it uses less digits than its factorization.

82661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 82661000 is about 9091.8095008640. The cubic root of 82661000 is about 435.6123845088.

Adding to 82661000 its reverse (16628), we get a palindrome (82677628).

The spelling of 82661000 in words is "eighty-two million, six hundred sixty-one thousand".