82684640 has 48 divisors (see below), whose sum is σ = 200636352. Its totient is φ = 32177664.

The previous prime is 82684631. The next prime is 82684669. The reversal of 82684640 is 4648628.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82684594 and 82684603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064 + ... + 12903.

It is an arithmetic number, because the mean of its divisors is an integer number (4179924).

Almost surely, 2^82684640 is an apocalyptic number.

82684640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100318176).

82684640 is an abundant number, since it is smaller than the sum of its proper divisors (117951712).

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

82684640 is a wasteful number, since it uses less digits than its factorization.

82684640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14019 (or 14011 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 82684640 is about 9093.1094791606. The cubic root of 82684640 is about 435.6539070940.

The spelling of 82684640 in words is "eighty-two million, six hundred eighty-four thousand, six hundred forty".