82819968 has 128 divisors (see below), whose sum is σ = 274371840. Its totient is φ = 21504000.

The previous prime is 82819963. The next prime is 82819991. The reversal of 82819968 is 86991828.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 82819968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82819963) 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, 28168 + ... + 30968.

It is an arithmetic number, because the mean of its divisors is an integer number (2143530).

Almost surely, 2^82819968 is an apocalyptic number.

82819968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137185920).

82819968 is an abundant number, since it is smaller than the sum of its proper divisors (191551872).

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

82819968 is a wasteful number, since it uses less digits than its factorization.

82819968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2824 counting only the distinct ones).

The product of its digits is 497664, while the sum is 51.

The square root of 82819968 is about 9100.5476758270. The cubic root of 82819968 is about 435.8914523708.

The spelling of 82819968 in words is "eighty-two million, eight hundred nineteen thousand, nine hundred sixty-eight".