82684764 has 54 divisors (see below), whose sum is σ = 212402736. Its totient is φ = 27120960.

The previous prime is 82684759. The next prime is 82684769. The reversal of 82684764 is 46748628.

It is an interprime number because it is at equal distance from previous prime (82684759) and next prime (82684769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82684769) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 191629 + ... + 192059.

It is an arithmetic number, because the mean of its divisors is an integer number (3933384).

Almost surely, 2^82684764 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 82684764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106201368).

82684764 is an abundant number, since it is smaller than the sum of its proper divisors (129717972).

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

82684764 is a wasteful number, since it uses less digits than its factorization.

82684764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 509 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 82684764 is about 9093.1162975077. The cubic root of 82684764 is about 435.6541248735.

The spelling of 82684764 in words is "eighty-two million, six hundred eighty-four thousand, seven hundred sixty-four".