82156968 has 48 divisors (see below), whose sum is σ = 225026100. Its totient is φ = 27075840.

The previous prime is 82156939. The next prime is 82156999. The reversal of 82156968 is 86965128.

82156968 is a `hidden beast` number, since 8 + 21 + 569 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67272804 + 14884164 = 8202^2 + 3858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3 + ... + 12818.

Almost surely, 2^82156968 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 82156968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112513050).

82156968 is an abundant number, since it is smaller than the sum of its proper divisors (142869132).

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

82156968 is a wasteful number, since it uses less digits than its factorization.

82156968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12922 (or 12915 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 82156968 is about 9064.0481022554. The cubic root of 82156968 is about 434.7251851199.

The spelling of 82156968 in words is "eighty-two million, one hundred fifty-six thousand, nine hundred sixty-eight".