82801968 has 120 divisors (see below), whose sum is σ = 233889792. Its totient is φ = 25224192.

The previous prime is 82801963. The next prime is 82801969. The reversal of 82801968 is 86910828.

It is not an unprimeable number, because it can be changed into a prime (82801963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651921 + ... + 652047.

Almost surely, 2^82801968 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 82801968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116944896).

82801968 is an abundant number, since it is smaller than the sum of its proper divisors (151087824).

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

82801968 is a wasteful number, since it uses less digits than its factorization.

82801968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 82801968 is about 9099.5586706169. The cubic root of 82801968 is about 435.8598713612.

The spelling of 82801968 in words is "eighty-two million, eight hundred one thousand, nine hundred sixty-eight".