82364040 has 160 divisors (see below), whose sum is σ = 302132160. Its totient is φ = 19958400.

The previous prime is 82364027. The next prime is 82364041. The reversal of 82364040 is 4046328.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82363995 and 82364013.

It is not an unprimeable number, because it can be changed into a prime (82364041) 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 39 ways as a sum of consecutive naturals, for example, 34485 + ... + 36795.

It is an arithmetic number, because the mean of its divisors is an integer number (1888326).

Almost surely, 2^82364040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82364040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151066080).

82364040 is an abundant number, since it is smaller than the sum of its proper divisors (219768120).

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

82364040 is a wasteful number, since it uses less digits than its factorization.

82364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2332 counting only the distinct ones).

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

The square root of 82364040 is about 9075.4636245208. The cubic root of 82364040 is about 435.0901121283.

The spelling of 82364040 in words is "eighty-two million, three hundred sixty-four thousand, forty".