82306600 has 48 divisors (see below), whose sum is σ = 192426300. Its totient is φ = 32739840.

The previous prime is 82306591. The next prime is 82306603. The reversal of 82306600 is 660328.

It can be written as a sum of positive squares in 6 ways, for example, as 70459236 + 11847364 = 8394^2 + 3442^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (82306603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38356 + ... + 40444.

Almost surely, 2^82306600 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 82306600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96213150).

82306600 is an abundant number, since it is smaller than the sum of its proper divisors (110119700).

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

82306600 is a wasteful number, since it uses less digits than its factorization.

82306600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 82306600 is about 9072.2984959711. The cubic root of 82306600 is about 434.9889458591.

Adding to 82306600 its reverse (660328), we get a palindrome (82966928).

The spelling of 82306600 in words is "eighty-two million, three hundred six thousand, six hundred".