82643040 has 144 divisors (see below), whose sum is σ = 291891600. Its totient is φ = 21267456.

The previous prime is 82643039. The next prime is 82643063. The reversal of 82643040 is 4034628.

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

It is a junction number, because it is equal to n+sod(n) for n = 82642995 and 82643013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40771 + ... + 42749.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 2^82643040 is an apocalyptic number.

82643040 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 82643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145945800).

82643040 is an abundant number, since it is smaller than the sum of its proper divisors (209248560).

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

82643040 is a wasteful number, since it uses less digits than its factorization.

82643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82643040 is about 9090.8217450349. The cubic root of 82643040 is about 435.5808332932.

Adding to 82643040 its reverse (4034628), we get a palindrome (86677668).

The spelling of 82643040 in words is "eighty-two million, six hundred forty-three thousand, forty".