82161648 has 80 divisors (see below), whose sum is σ = 241373440. Its totient is φ = 26744256.

The previous prime is 82161641. The next prime is 82161671. The reversal of 82161648 is 84616128.

82161648 is a `hidden beast` number, since 8 + 2 + 1 + 6 + 1 + 648 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82161641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16365 + ... + 20787.

It is an arithmetic number, because the mean of its divisors is an integer number (3017168).

Almost surely, 2^82161648 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 82161648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120686720).

82161648 is an abundant number, since it is smaller than the sum of its proper divisors (159211792).

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

82161648 is a wasteful number, since it uses less digits than its factorization.

82161648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4471 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82161648 is about 9064.3062613749. The cubic root of 82161648 is about 434.7334395435.

The spelling of 82161648 in words is "eighty-two million, one hundred sixty-one thousand, six hundred forty-eight".