82465320 has 128 divisors (see below), whose sum is σ = 297676800. Its totient is φ = 17853696.

The previous prime is 82465289. The next prime is 82465321. The reversal of 82465320 is 2356428.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (82465321) 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, 13377 + ... + 18543.

It is an arithmetic number, because the mean of its divisors is an integer number (2325600).

Almost surely, 2^82465320 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 82465320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148838400).

82465320 is an abundant number, since it is smaller than the sum of its proper divisors (215211480).

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

82465320 is a wasteful number, since it uses less digits than its factorization.

82465320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 82465320 is about 9081.0417904555. The cubic root of 82465320 is about 435.2683771284.

The spelling of 82465320 in words is "eighty-two million, four hundred sixty-five thousand, three hundred twenty".