82628680 has 16 divisors (see below), whose sum is σ = 185914620. Its totient is φ = 33051456.

The previous prime is 82628677. The next prime is 82628683. The reversal of 82628680 is 8682628.

It is an interprime number because it is at equal distance from previous prime (82628677) and next prime (82628683).

It can be written as a sum of positive squares in 2 ways, for example, as 78393316 + 4235364 = 8854^2 + 2058^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2065717 = 82628680 / (8 + 2 + 6 + 2 + 8 + 6 + 8 + 0).

It is not an unprimeable number, because it can be changed into a prime (82628683) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1032819 + ... + 1032898.

Almost surely, 2^82628680 is an apocalyptic number.

It is an amenable number.

82628680 is an abundant number, since it is smaller than the sum of its proper divisors (103285940).

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

82628680 is a wasteful number, since it uses less digits than its factorization.

82628680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065728 (or 2065724 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 82628680 is about 9090.0319031343. The cubic root of 82628680 is about 435.5556030859. Note that the first 3 decimals are identical.

The spelling of 82628680 in words is "eighty-two million, six hundred twenty-eight thousand, six hundred eighty".