82443168 has 72 divisors (see below), whose sum is σ = 235488708. Its totient is φ = 27359232.

The previous prime is 82443139. The next prime is 82443181. The reversal of 82443168 is 86134428.

It can be written as a sum of positive squares in 2 ways, for example, as 60652944 + 21790224 = 7788^2 + 4668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83896 + ... + 84872.

Almost surely, 2^82443168 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 82443168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117744354).

82443168 is an abundant number, since it is smaller than the sum of its proper divisors (153045540).

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

82443168 is a wasteful number, since it uses less digits than its factorization.

82443168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1275 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 82443168 is about 9079.8220246875. The cubic root of 82443168 is about 435.2293994160.

The spelling of 82443168 in words is "eighty-two million, four hundred forty-three thousand, one hundred sixty-eight".