82299648 has 72 divisors (see below), whose sum is σ = 221414256. Its totient is φ = 27136000.

The previous prime is 82299647. The next prime is 82299649. The reversal of 82299648 is 84699228.

It is an interprime number because it is at equal distance from previous prime (82299647) and next prime (82299649).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 82299597 and 82299606.

It is not an unprimeable number, because it can be changed into a prime (82299641) 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, 77038 + ... + 78098.

It is an arithmetic number, because the mean of its divisors is an integer number (3075198).

Almost surely, 2^82299648 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 82299648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110707128).

82299648 is an abundant number, since it is smaller than the sum of its proper divisors (139114608).

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

82299648 is a wasteful number, since it uses less digits than its factorization.

82299648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1167 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 82299648 is about 9071.9153435204. The cubic root of 82299648 is about 434.9766984480.

The spelling of 82299648 in words is "eighty-two million, two hundred ninety-nine thousand, six hundred forty-eight".