82642320 has 60 divisors (see below), whose sum is σ = 277542876. Its totient is φ = 22037760.

The previous prime is 82642319. The next prime is 82642333. The reversal of 82642320 is 2324628.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 73205136 = 3072^2 + 8556^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 56671 + ... + 58110.

Almost surely, 2^82642320 is an apocalyptic number.

82642320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82642320 is an abundant number, since it is smaller than the sum of its proper divisors (194900556).

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

82642320 is a wasteful number, since it uses less digits than its factorization.

82642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114800 (or 114791 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82642320 is about 9090.7821445682. The cubic root of 82642320 is about 435.5795683384.

Adding to 82642320 its reverse (2324628), we get a palindrome (84966948).

The spelling of 82642320 in words is "eighty-two million, six hundred forty-two thousand, three hundred twenty".