82616364 has 72 divisors (see below), whose sum is σ = 217293440. Its totient is φ = 26438400.

The previous prime is 82616321. The next prime is 82616377. The reversal of 82616364 is 46361628.

82616364 is a `hidden beast` number, since 8 + 2 + 616 + 36 + 4 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 201792 + ... + 202200.

Almost surely, 2^82616364 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 82616364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108646720).

82616364 is an abundant number, since it is smaller than the sum of its proper divisors (134677076).

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

82616364 is a wasteful number, since it uses less digits than its factorization.

82616364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 626 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 82616364 is about 9089.3544325216. The cubic root of 82616364 is about 435.5339618134.

The spelling of 82616364 in words is "eighty-two million, six hundred sixteen thousand, three hundred sixty-four".