82618830 has 96 divisors (see below), whose sum is σ = 247104000. Its totient is φ = 18760896.

The previous prime is 82618819. The next prime is 82618831. The reversal of 82618830 is 3881628.

82618830 is a `hidden beast` number, since 8 + 2 + 618 + 8 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82618831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125041 + ... + 125699.

It is an arithmetic number, because the mean of its divisors is an integer number (2574000).

Almost surely, 2^82618830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82618830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123552000).

82618830 is an abundant number, since it is smaller than the sum of its proper divisors (164485170).

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

82618830 is a wasteful number, since it uses less digits than its factorization.

82618830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82618830 is about 9089.4900847077. The cubic root of 82618830 is about 435.5382951601.

The spelling of 82618830 in words is "eighty-two million, six hundred eighteen thousand, eight hundred thirty".