82956096 has 112 divisors (see below), whose sum is σ = 248188480. Its totient is φ = 27164160.

The previous prime is 82956091. The next prime is 82956113. The reversal of 82956096 is 69065928.

82956096 is a `hidden beast` number, since 82 + 9 + 560 + 9 + 6 = 666.

It is a super-2 number, since 2×82956096² = 13763427727122432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82956091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105015 + ... + 105801.

Almost surely, 2^82956096 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 82956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124094240).

82956096 is an abundant number, since it is smaller than the sum of its proper divisors (165232384).

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

82956096 is a wasteful number, since it uses less digits than its factorization.

82956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 82956096 is about 9108.0237153841. The cubic root of 82956096 is about 436.1301409895.

The spelling of 82956096 in words is "eighty-two million, nine hundred fifty-six thousand, ninety-six".