82139616 has 192 divisors, whose sum is σ = 264176640. Its totient is φ = 24675840.

The previous prime is 82139609. The next prime is 82139633. The reversal of 82139616 is 61693128.

82139616 is a `hidden beast` number, since 8 + 2 + 1 + 39 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15552) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797421 + ... + 797523.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^82139616 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 82139616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

82139616 is an abundant number, since it is smaller than the sum of its proper divisors (182037024).

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

82139616 is a wasteful number, since it uses less digits than its factorization.

82139616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 82139616 is about 9063.0908634968. The cubic root of 82139616 is about 434.6945775211.

The spelling of 82139616 in words is "eighty-two million, one hundred thirty-nine thousand, six hundred sixteen".