82648176 has 80 divisors (see below), whose sum is σ = 242067840. Its totient is φ = 24088320.

The previous prime is 82648123. The next prime is 82648187. The reversal of 82648176 is 67184628.

It is a super-2 number, since 2×82648176² = 13661441992253952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8371 + ... + 15341.

It is an arithmetic number, because the mean of its divisors is an integer number (3025848).

Almost surely, 2^82648176 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 82648176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121033920).

82648176 is an abundant number, since it is smaller than the sum of its proper divisors (159419664).

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

82648176 is a wasteful number, since it uses less digits than its factorization.

82648176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 7008 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 82648176 is about 9091.1042233603. The cubic root of 82648176 is about 435.5898564237.

The spelling of 82648176 in words is "eighty-two million, six hundred forty-eight thousand, one hundred seventy-six".