82079616 has 128 divisors (see below), whose sum is σ = 230234400. Its totient is φ = 25878528.

The previous prime is 82079611. The next prime is 82079629. The reversal of 82079616 is 61697028.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82079611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752970 + ... + 753078.

Almost surely, 2^82079616 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 82079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115117200).

82079616 is an abundant number, since it is smaller than the sum of its proper divisors (148154784).

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

82079616 is a wasteful number, since it uses less digits than its factorization.

82079616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 82079616 is about 9059.7801297824. The cubic root of 82079616 is about 434.5887088832.

The spelling of 82079616 in words is "eighty-two million, seventy-nine thousand, six hundred sixteen".