82408036624 has 45 divisors (see below), whose sum is σ = 163563076773. Its totient is φ = 40221671616.

The previous prime is 82408036609. The next prime is 82408036631. The reversal of 82408036624 is 42663080428.

The square root of 82408036624 is 287068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43960670224 + 38447366400 = 209668^2 + 196080^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49374862 + ... + 49376530.

Almost surely, 2^82408036624 is an apocalyptic number.

82408036624 is the 287068-th square number.

It is an amenable number.

82408036624 is a deficient number, since it is larger than the sum of its proper divisors (81155040149).

82408036624 is an frugal number, since it uses more digits than its factorization.

82408036624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 82408036624 in words is "eighty-two billion, four hundred eight million, thirty-six thousand, six hundred twenty-four".