82646382 has 64 divisors (see below), whose sum is σ = 208986624. Its totient is φ = 21202560.

The previous prime is 82646363. The next prime is 82646407. The reversal of 82646382 is 28364628.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 82646382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18157 + ... + 22247.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^82646382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82646382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104493312).

82646382 is an abundant number, since it is smaller than the sum of its proper divisors (126340242).

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

82646382 is a wasteful number, since it uses less digits than its factorization.

82646382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153.

The product of its digits is 110592, while the sum is 39.

The square root of 82646382 is about 9091.0055549428. The cubic root of 82646382 is about 435.5867046951.

It can be divided in two parts, 82646 and 382, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 82646382 in words is "eighty-two million, six hundred forty-six thousand, three hundred eighty-two".