82016000 has 144 divisors (see below), whose sum is σ = 223842528. Its totient is φ = 29696000.

The previous prime is 82015991. The next prime is 82016017. The reversal of 82016000 is 61028.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82016000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351884 + ... + 352116.

It is an arithmetic number, because the mean of its divisors is an integer number (1554462).

Almost surely, 2^82016000 is an apocalyptic number.

82016000 is a gapful number since it is divisible by the number (80) 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 82016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111921264).

82016000 is an abundant number, since it is smaller than the sum of its proper divisors (141826528).

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

82016000 is a wasteful number, since it uses less digits than its factorization.

82016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 82016000 is about 9056.2685472550. The cubic root of 82016000 is about 434.4764035294.

Adding to 82016000 its reverse (61028), we get a palindrome (82077028).

The spelling of 82016000 in words is "eighty-two million, sixteen thousand".