82030464 has 96 divisors (see below), whose sum is σ = 243771840. Its totient is φ = 26449920.

The previous prime is 82030447. The next prime is 82030469. The reversal of 82030464 is 46403028.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82030469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34564 + ... + 36860.

It is an arithmetic number, because the mean of its divisors is an integer number (2539290).

Almost surely, 2^82030464 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 82030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121885920).

82030464 is an abundant number, since it is smaller than the sum of its proper divisors (161741376).

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

82030464 is a wasteful number, since it uses less digits than its factorization.

82030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82030464 is about 9057.0670749421. The cubic root of 82030464 is about 434.5019428441.

The spelling of 82030464 in words is "eighty-two million, thirty thousand, four hundred sixty-four".