82588320 has 144 divisors (see below), whose sum is σ = 285640992. Its totient is φ = 21726720.

The previous prime is 82588301. The next prime is 82588321. The reversal of 82588320 is 2388528.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (82588321) 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 23 ways as a sum of consecutive naturals, for example, 119175 + ... + 119865.

It is an arithmetic number, because the mean of its divisors is an integer number (1983618).

Almost surely, 2^82588320 is an apocalyptic number.

82588320 is a gapful number since it is divisible by the number (80) 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 82588320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142820496).

82588320 is an abundant number, since it is smaller than the sum of its proper divisors (203052672).

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

82588320 is a wasteful number, since it uses less digits than its factorization.

82588320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 82588320 is about 9087.8116177659. The cubic root of 82588320 is about 435.4846757877.

The spelling of 82588320 in words is "eighty-two million, five hundred eighty-eight thousand, three hundred twenty".