82648188 has 84 divisors (see below), whose sum is σ = 247892400. Its totient is φ = 23607936.

The previous prime is 82648187. The next prime is 82648211. The reversal of 82648188 is 88184628.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82648187) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18388 + ... + 22436.

It is an arithmetic number, because the mean of its divisors is an integer number (2951100).

Almost surely, 2^82648188 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 82648188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123946200).

82648188 is an abundant number, since it is smaller than the sum of its proper divisors (165244212).

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

82648188 is a wasteful number, since it uses less digits than its factorization.

82648188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4061 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 82648188 is about 9091.1048833461. The cubic root of 82648188 is about 435.5898775054.

The spelling of 82648188 in words is "eighty-two million, six hundred forty-eight thousand, one hundred eighty-eight".