82323024 has 80 divisors (see below), whose sum is σ = 244032000. Its totient is φ = 23425920.

The previous prime is 82323023. The next prime is 82323037. The reversal of 82323024 is 42032328.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 82322985 and 82323003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82323023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164727 + ... + 165225.

It is an arithmetic number, because the mean of its divisors is an integer number (3050400).

Almost surely, 2^82323024 is an apocalyptic number.

82323024 is a gapful number since it is divisible by the number (84) 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 82323024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122016000).

82323024 is an abundant number, since it is smaller than the sum of its proper divisors (161708976).

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

82323024 is a wasteful number, since it uses less digits than its factorization.

82323024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 82323024 is about 9073.2036238586. The cubic root of 82323024 is about 435.0178774526.

The spelling of 82323024 in words is "eighty-two million, three hundred twenty-three thousand, twenty-four".