82846632 has 128 divisors (see below), whose sum is σ = 238878720. Its totient is φ = 23712000.

The previous prime is 82846607. The next prime is 82846637. The reversal of 82846632 is 23664828.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82846637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433657 + ... + 433847.

It is an arithmetic number, because the mean of its divisors is an integer number (1866240).

Almost surely, 2^82846632 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 82846632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119439360).

82846632 is an abundant number, since it is smaller than the sum of its proper divisors (156032088).

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

82846632 is a wasteful number, since it uses less digits than its factorization.

82846632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

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

The square root of 82846632 is about 9102.0125247112. The cubic root of 82846632 is about 435.9382259645.

The spelling of 82846632 in words is "eighty-two million, eight hundred forty-six thousand, six hundred thirty-two".