82339488 has 288 divisors, whose sum is σ = 301916160. Its totient is φ = 20666880.

The previous prime is 82339487. The next prime is 82339489. The reversal of 82339488 is 88493328.

It is an interprime number because it is at equal distance from previous prime (82339487) and next prime (82339489).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82339487) 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 47 ways as a sum of consecutive naturals, for example, 1042233 + ... + 1042311.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^82339488 is an apocalyptic number.

82339488 is a gapful number since it is divisible by the number (88) 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 82339488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

82339488 is an abundant number, since it is smaller than the sum of its proper divisors (219576672).

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

82339488 is a wasteful number, since it uses less digits than its factorization.

82339488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 82339488 is about 9074.1108655339. The cubic root of 82339488 is about 435.0468756461.

The spelling of 82339488 in words is "eighty-two million, three hundred thirty-nine thousand, four hundred eighty-eight".