82352016 has 60 divisors (see below), whose sum is σ = 231291372. Its totient is φ = 27353088.

The previous prime is 82351981. The next prime is 82352021. The reversal of 82352016 is 61025328.

It can be written as a sum of positive squares in 2 ways, for example, as 55353600 + 26998416 = 7440^2 + 5196^2 .

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, 47680 + ... + 49376.

Almost surely, 2^82352016 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 82352016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115645686).

82352016 is an abundant number, since it is smaller than the sum of its proper divisors (148939356).

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

82352016 is a wasteful number, since it uses less digits than its factorization.

82352016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82352016 is about 9074.8011548463. The cubic root of 82352016 is about 435.0689387371.

The spelling of 82352016 in words is "eighty-two million, three hundred fifty-two thousand, sixteen".