82400032 has 72 divisors (see below), whose sum is σ = 192147228. Its totient is φ = 34552320.

The previous prime is 82400023. The next prime is 82400039. The reversal of 82400032 is 23000428.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63425296 + 18974736 = 7964^2 + 4356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82399982 and 82400009.

It is not an unprimeable number, because it can be changed into a prime (82400039) 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 11 ways as a sum of consecutive naturals, for example, 49518 + ... + 51154.

Almost surely, 2^82400032 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 82400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96073614).

82400032 is an abundant number, since it is smaller than the sum of its proper divisors (109747196).

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

82400032 is a wasteful number, since it uses less digits than its factorization.

82400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 82400032 is about 9077.4463369386. The cubic root of 82400032 is about 435.1534791140.

The spelling of 82400032 in words is "eighty-two million, four hundred thousand, thirty-two".