82875648 has 108 divisors (see below), whose sum is σ = 231609728. Its totient is φ = 26280960.

The previous prime is 82875641. The next prime is 82875691. The reversal of 82875648 is 84657828.

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

Its product of digits (860160) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 82875597 and 82875606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82875641) 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, 1404643 + ... + 1404701.

Almost surely, 2^82875648 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 82875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115804864).

82875648 is an abundant number, since it is smaller than the sum of its proper divisors (148734080).

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

82875648 is an equidigital number, since it uses as much as digits as its factorization.

82875648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 95 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 82875648 is about 9103.6063183773. The cubic root of 82875648 is about 435.9891140003.

The spelling of 82875648 in words is "eighty-two million, eight hundred seventy-five thousand, six hundred forty-eight".