82355616 has 288 divisors, whose sum is σ = 297198720. Its totient is φ = 21897216.

The previous prime is 82355569. The next prime is 82355629. The reversal of 82355616 is 61655328.

82355616 is a `hidden beast` number, since 8 + 2 + 35 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 925300 + ... + 925388.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^82355616 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 82355616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

82355616 is an abundant number, since it is smaller than the sum of its proper divisors (214843104).

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

82355616 is a wasteful number, since it uses less digits than its factorization.

82355616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 82355616 is about 9074.9995041322. Note that the first 3 decimals coincide. The cubic root of 82355616 is about 435.0752782919.

The spelling of 82355616 in words is "eighty-two million, three hundred fifty-five thousand, six hundred sixteen".