82106440 has 32 divisors (see below), whose sum is σ = 198951480. Its totient is φ = 30316032.

The previous prime is 82106419. The next prime is 82106443. The reversal of 82106440 is 4460128.

It can be written as a sum of positive squares in 4 ways, for example, as 39413284 + 42693156 = 6278^2 + 6534^2 .

It is not an unprimeable number, because it can be changed into a prime (82106443) 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 7 ways as a sum of consecutive naturals, for example, 78429 + ... + 79468.

Almost surely, 2^82106440 is an apocalyptic number.

It is an amenable number.

82106440 is an abundant number, since it is smaller than the sum of its proper divisors (116845040).

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

82106440 is a wasteful number, since it uses less digits than its factorization.

82106440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157921 (or 157917 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 82106440 is about 9061.2603979800. The cubic root of 82106440 is about 434.6360455969.

Adding to 82106440 its reverse (4460128), we get a palindrome (86566568).

The spelling of 82106440 in words is "eighty-two million, one hundred six thousand, four hundred forty".