82468640 has 24 divisors (see below), whose sum is σ = 194832540. Its totient is φ = 32987392.

The previous prime is 82468627. The next prime is 82468667. The reversal of 82468640 is 4686428.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82373776 + 94864 = 9076^2 + 308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82468594 and 82468603.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 257555 + ... + 257874.

Almost surely, 2^82468640 is an apocalyptic number.

82468640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82468640 is an abundant number, since it is smaller than the sum of its proper divisors (112363900).

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

82468640 is a wasteful number, since it uses less digits than its factorization.

82468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515444 (or 515436 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 82468640 is about 9081.2245870257. The cubic root of 82468640 is about 435.2742182570.

The spelling of 82468640 in words is "eighty-two million, four hundred sixty-eight thousand, six hundred forty".