82566528 has 96 divisors (see below), whose sum is σ = 241203480. Its totient is φ = 25006080.

The previous prime is 82566503. The next prime is 82566529.

82566528 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82566528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82566529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45576 + ... + 47352.

Almost surely, 2^82566528 is an apocalyptic number.

82566528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82566528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120601740).

82566528 is an abundant number, since it is smaller than the sum of its proper divisors (158636952).

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

82566528 is a wasteful number, since it uses less digits than its factorization.

82566528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1793 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 82566528 is about 9086.6125701496. The cubic root of 82566528 is about 435.4463696573.

The spelling of 82566528 in words is "eighty-two million, five hundred sixty-six thousand, five hundred twenty-eight".