82646304 has 96 divisors (see below), whose sum is σ = 238775040. Its totient is φ = 24870912.

The previous prime is 82646303. The next prime is 82646321. The reversal of 82646304 is 40364628.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (82646303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57952 + ... + 59360.

It is an arithmetic number, because the mean of its divisors is an integer number (2487240).

Almost surely, 2^82646304 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 82646304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119387520).

82646304 is an abundant number, since it is smaller than the sum of its proper divisors (156128736).

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

82646304 is a wasteful number, since it uses less digits than its factorization.

82646304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 82646304 is about 9091.0012649873. The cubic root of 82646304 is about 435.5865676624.

The spelling of 82646304 in words is "eighty-two million, six hundred forty-six thousand, three hundred four".