82923360 has 192 divisors, whose sum is σ = 286276032. Its totient is φ = 20054016.

The previous prime is 82923359. The next prime is 82923367. The reversal of 82923360 is 6332928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82923367) 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 31 ways as a sum of consecutive naturals, for example, 605212 + ... + 605348.

It is an arithmetic number, because the mean of its divisors is an integer number (1491021).

Almost surely, 2^82923360 is an apocalyptic number.

82923360 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 82923360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143138016).

82923360 is an abundant number, since it is smaller than the sum of its proper divisors (203352672).

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

82923360 is a wasteful number, since it uses less digits than its factorization.

82923360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 82923360 is about 9106.2264412873. The cubic root of 82923360 is about 436.0727651188.

The spelling of 82923360 in words is "eighty-two million, nine hundred twenty-three thousand, three hundred sixty".