82056576 has 160 divisors (see below), whose sum is σ = 257131800. Its totient is φ = 23181312.

The previous prime is 82056553. The next prime is 82056577. The reversal of 82056576 is 67565028.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82056577) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 921940 + ... + 922028.

Almost surely, 2^82056576 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 82056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128565900).

82056576 is an abundant number, since it is smaller than the sum of its proper divisors (175075224).

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

82056576 is an frugal number, since it uses more digits than its factorization.

82056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 82056576 is about 9058.5084865004. The cubic root of 82056576 is about 434.5480416166.

The spelling of 82056576 in words is "eighty-two million, fifty-six thousand, five hundred seventy-six".