82436440 has 64 divisors (see below), whose sum is σ = 201600000. Its totient is φ = 30222720.

The previous prime is 82436413. The next prime is 82436441. The reversal of 82436440 is 4463428.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82436441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21811 + ... + 25309.

It is an arithmetic number, because the mean of its divisors is an integer number (3150000).

Almost surely, 2^82436440 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 82436440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800000).

82436440 is an abundant number, since it is smaller than the sum of its proper divisors (119163560).

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

82436440 is a wasteful number, since it uses less digits than its factorization.

82436440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 82436440 is about 9079.4515252850. The cubic root of 82436440 is about 435.2175597325.

Adding to 82436440 its reverse (4463428), we get a palindrome (86899868).

The spelling of 82436440 in words is "eighty-two million, four hundred thirty-six thousand, four hundred forty".