82823360 has 56 divisors (see below), whose sum is σ = 200503536. Its totient is φ = 32578560.

The previous prime is 82823357. The next prime is 82823369. The reversal of 82823360 is 6332828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (82823369) 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 7 ways as a sum of consecutive naturals, for example, 17399 + ... + 21641.

Almost surely, 2^82823360 is an apocalyptic number.

82823360 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 82823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100251768).

82823360 is an abundant number, since it is smaller than the sum of its proper divisors (117680176).

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

82823360 is a wasteful number, since it uses less digits than its factorization.

82823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 82823360 is about 9100.7340363292. The cubic root of 82823360 is about 435.8974031242.

The spelling of 82823360 in words is "eighty-two million, eight hundred twenty-three thousand, three hundred sixty".