82335660 has 96 divisors (see below), whose sum is σ = 253822464. Its totient is φ = 19940800.

The previous prime is 82335613. The next prime is 82335661. The reversal of 82335660 is 6653328.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (82335661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79345 + ... + 80375.

It is an arithmetic number, because the mean of its divisors is an integer number (2643984).

Almost surely, 2^82335660 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 82335660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126911232).

82335660 is an abundant number, since it is smaller than the sum of its proper divisors (171486804).

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

82335660 is a wasteful number, since it uses less digits than its factorization.

82335660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 82335660 is about 9073.8999333253. The cubic root of 82335660 is about 435.0401336997.

Adding to 82335660 its reverse (6653328), we get a palindrome (88988988).

The spelling of 82335660 in words is "eighty-two million, three hundred thirty-five thousand, six hundred sixty".