82660032 has 336 divisors, whose sum is σ = 310652160. Its totient is φ = 20404224.

The previous prime is 82660031. The next prime is 82660087. The reversal of 82660032 is 23006628.

82660032 is a `hidden beast` number, since 8 + 26 + 600 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 82659978 and 82660005.

It is not an unprimeable number, because it can be changed into a prime (82660031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995863 + ... + 995945.

It is an arithmetic number, because the mean of its divisors is an integer number (924560).

Almost surely, 2^82660032 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 82660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155326080).

82660032 is an abundant number, since it is smaller than the sum of its proper divisors (227992128).

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

82660032 is a wasteful number, since it uses less digits than its factorization.

82660032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 82660032 is about 9091.7562659807. The cubic root of 82660032 is about 435.6106840921.

The spelling of 82660032 in words is "eighty-two million, six hundred sixty thousand, thirty-two".