82606496 has 48 divisors (see below), whose sum is σ = 190907136. Its totient is φ = 34442496.

The previous prime is 82606493. The next prime is 82606499. The reversal of 82606496 is 69460628.

It is an interprime number because it is at equal distance from previous prime (82606493) and next prime (82606499).

It is not an unprimeable number, because it can be changed into a prime (82606493) 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 7 ways as a sum of consecutive naturals, for example, 3305 + ... + 13271.

It is an arithmetic number, because the mean of its divisors is an integer number (3977232).

Almost surely, 2^82606496 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 82606496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95453568).

82606496 is an abundant number, since it is smaller than the sum of its proper divisors (108300640).

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

82606496 is a wasteful number, since it uses less digits than its factorization.

82606496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 82606496 is about 9088.8115834800. The cubic root of 82606496 is about 435.5166205343.

The spelling of 82606496 in words is "eighty-two million, six hundred six thousand, four hundred ninety-six".