82271440 has 20 divisors (see below), whose sum is σ = 191281284. Its totient is φ = 32908544.

The previous prime is 82271419. The next prime is 82271447. The reversal of 82271440 is 4417228.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 70492816 = 3432^2 + 8396^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 82271399 and 82271408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82271447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514117 + ... + 514276.

Almost surely, 2^82271440 is an apocalyptic number.

82271440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82271440 is an abundant number, since it is smaller than the sum of its proper divisors (109009844).

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

82271440 is a wasteful number, since it uses less digits than its factorization.

82271440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028406 (or 1028400 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 82271440 is about 9070.3605220520. The cubic root of 82271440 is about 434.9269970414.

Adding to 82271440 its reverse (4417228), we get a palindrome (86688668).

The spelling of 82271440 in words is "eighty-two million, two hundred seventy-one thousand, four hundred forty".