82008960 has 192 divisors, whose sum is σ = 288141840. Its totient is φ = 19824640.

The previous prime is 82008947. The next prime is 82008989. The reversal of 82008960 is 6980028.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232144 + ... + 232496.

Almost surely, 2^82008960 is an apocalyptic number.

82008960 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 82008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144070920).

82008960 is an abundant number, since it is smaller than the sum of its proper divisors (206132880).

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

82008960 is a wasteful number, since it uses less digits than its factorization.

82008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 82008960 is about 9055.8798578603. The cubic root of 82008960 is about 434.4639718030.

Adding to 82008960 its reverse (6980028), we get a palindrome (88988988).

The spelling of 82008960 in words is "eighty-two million, eight thousand, nine hundred sixty".