82346418 has 192 divisors, whose sum is σ = 242611200. Its totient is φ = 19543680.

The previous prime is 82346413. The next prime is 82346431. The reversal of 82346418 is 81464328.

82346418 is a `hidden beast` number, since 8 + 2 + 3 + 4 + 641 + 8 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82346413) 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 95 ways as a sum of consecutive naturals, for example, 1395673 + ... + 1395731.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 2^82346418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82346418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121305600).

82346418 is an abundant number, since it is smaller than the sum of its proper divisors (160264782).

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

82346418 is a wasteful number, since it uses less digits than its factorization.

82346418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 154 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 82346418 is about 9074.4927130942. The cubic root of 82346418 is about 435.0590803624.

The spelling of 82346418 in words is "eighty-two million, three hundred forty-six thousand, four hundred eighteen".