82872640 has 28 divisors (see below), whose sum is σ = 197341236. Its totient is φ = 33148928.

The previous prime is 82872631. The next prime is 82872679. The reversal of 82872640 is 4627828.

It can be written as a sum of positive squares in 2 ways, for example, as 33085504 + 49787136 = 5752^2 + 7056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82872640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129169 + ... + 129808.

Almost surely, 2^82872640 is an apocalyptic number.

82872640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82872640 is an abundant number, since it is smaller than the sum of its proper divisors (114468596).

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

82872640 is a wasteful number, since it uses less digits than its factorization.

82872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258994 (or 258984 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 82872640 is about 9103.4411076252. The cubic root of 82872640 is about 435.9838391451.

The spelling of 82872640 in words is "eighty-two million, eight hundred seventy-two thousand, six hundred forty".