82364544 has 192 divisors, whose sum is σ = 257774400. Its totient is φ = 25159680.

The previous prime is 82364521. The next prime is 82364561. The reversal of 82364544 is 44546328.

82364544 is a `hidden beast` number, since 8 + 2 + 3 + 645 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82364499 and 82364508.

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, 1160029 + ... + 1160099.

It is an arithmetic number, because the mean of its divisors is an integer number (1342575).

Almost surely, 2^82364544 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 82364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

82364544 is an abundant number, since it is smaller than the sum of its proper divisors (175409856).

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

82364544 is a wasteful number, since it uses less digits than its factorization.

82364544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 82364544 is about 9075.4913916548. The cubic root of 82364544 is about 435.0909995907.

The spelling of 82364544 in words is "eighty-two million, three hundred sixty-four thousand, five hundred forty-four".