82647936 has 192 divisors, whose sum is σ = 280157280. Its totient is φ = 22892544.

The previous prime is 82647919. The next prime is 82647937. The reversal of 82647936 is 63974628.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 82647891 and 82647900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82647937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298230 + ... + 298506.

Almost surely, 2^82647936 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 82647936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140078640).

82647936 is an abundant number, since it is smaller than the sum of its proper divisors (197509344).

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

82647936 is a wasteful number, since it uses less digits than its factorization.

82647936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 82647936 is about 9091.0910236341. The cubic root of 82647936 is about 435.5894347904.

The spelling of 82647936 in words is "eighty-two million, six hundred forty-seven thousand, nine hundred thirty-six".