82816048 has 40 divisors (see below), whose sum is σ = 183956480. Its totient is φ = 35380800.

The previous prime is 82816043. The next prime is 82816049. The reversal of 82816048 is 84061828.

It is a junction number, because it is equal to n+sod(n) for n = 82815998 and 82816016.

It is not an unprimeable number, because it can be changed into a prime (82816043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41473 + ... + 43423.

It is an arithmetic number, because the mean of its divisors is an integer number (4598912).

Almost surely, 2^82816048 is an apocalyptic number.

It is an amenable number.

82816048 is an abundant number, since it is smaller than the sum of its proper divisors (101140432).

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

82816048 is a wasteful number, since it uses less digits than its factorization.

82816048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 82816048 is about 9100.3323016250. The cubic root of 82816048 is about 435.8845751185.

The spelling of 82816048 in words is "eighty-two million, eight hundred sixteen thousand, forty-eight".