82366632 has 80 divisors (see below), whose sum is σ = 244306260. Its totient is φ = 25837056.

The previous prime is 82366631. The next prime is 82366637. The reversal of 82366632 is 23666328.

It can be written as a sum of positive squares in 2 ways, for example, as 67667076 + 14699556 = 8226^2 + 3834^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (82366631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7278 + ... + 14754.

Almost surely, 2^82366632 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 82366632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122153130).

82366632 is an abundant number, since it is smaller than the sum of its proper divisors (161939628).

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

82366632 is a wasteful number, since it uses less digits than its factorization.

82366632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7499 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 82366632 is about 9075.6064260191. The cubic root of 82366632 is about 435.0946761821.

The spelling of 82366632 in words is "eighty-two million, three hundred sixty-six thousand, six hundred thirty-two".