82548576 has 144 divisors (see below), whose sum is σ = 260402688. Its totient is φ = 24595200.

The previous prime is 82548551. The next prime is 82548581. The reversal of 82548576 is 67584528.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224745 + ... + 225111.

It is an arithmetic number, because the mean of its divisors is an integer number (1808352).

Almost surely, 2^82548576 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 82548576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130201344).

82548576 is an abundant number, since it is smaller than the sum of its proper divisors (177854112).

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

82548576 is a wasteful number, since it uses less digits than its factorization.

82548576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 82548576 is about 9085.6246895852. The cubic root of 82548576 is about 435.4148084422.

The spelling of 82548576 in words is "eighty-two million, five hundred forty-eight thousand, five hundred seventy-six".