82830384 has 320 divisors, whose sum is σ = 305536000. Its totient is φ = 21337344.

The previous prime is 82830379. The next prime is 82830401. The reversal of 82830384 is 48303828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926267 + ... + 1926309.

It is an arithmetic number, because the mean of its divisors is an integer number (954800).

Almost surely, 2^82830384 is an apocalyptic number.

82830384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82830384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152768000).

82830384 is an abundant number, since it is smaller than the sum of its proper divisors (222705616).

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

82830384 is a wasteful number, since it uses less digits than its factorization.

82830384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

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

The square root of 82830384 is about 9101.1199310854. The cubic root of 82830384 is about 435.9097251584.

The spelling of 82830384 in words is "eighty-two million, eight hundred thirty thousand, three hundred eighty-four".