82567296 has 128 divisors (see below), whose sum is σ = 278582400. Its totient is φ = 23583744.

The previous prime is 82567259. The next prime is 82567301. The reversal of 82567296 is 69276528.

82567296 is a `hidden beast` number, since 82 + 567 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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, 22486 + ... + 25898.

It is an arithmetic number, because the mean of its divisors is an integer number (2176425).

Almost surely, 2^82567296 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 82567296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139291200).

82567296 is an abundant number, since it is smaller than the sum of its proper divisors (196015104).

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

82567296 is a wasteful number, since it uses less digits than its factorization.

82567296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3425 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 82567296 is about 9086.6548300241. The cubic root of 82567296 is about 435.4477197677.

It can be divided in two parts, 825 and 67296, that added together give a square (68121 = 261²).

The spelling of 82567296 in words is "eighty-two million, five hundred sixty-seven thousand, two hundred ninety-six".