82056960 has 216 divisors, whose sum is σ = 301326480. Its totient is φ = 20545536.

The previous prime is 82056937. The next prime is 82056983. The reversal of 82056960 is 6965028.

It is an interprime number because it is at equal distance from previous prime (82056937) and next prime (82056983).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 195631 + ... + 196049.

It is an arithmetic number, because the mean of its divisors is an integer number (1395030).

Almost surely, 2^82056960 is an apocalyptic number.

82056960 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 82056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150663240).

82056960 is an abundant number, since it is smaller than the sum of its proper divisors (219269520).

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

82056960 is a wasteful number, since it uses less digits than its factorization.

82056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 82056960 is about 9058.5296820179. The cubic root of 82056960 is about 434.5487194667.

The spelling of 82056960 in words is "eighty-two million, fifty-six thousand, nine hundred sixty".