82600628 has 24 divisors (see below), whose sum is σ = 159261984. Its totient is φ = 37172000.

The previous prime is 82600607. The next prime is 82600631.

It is a happy number.

82600628 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82600594 and 82600603.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4850 + ... + 13737.

It is an arithmetic number, because the mean of its divisors is an integer number (6635916).

Almost surely, 2^82600628 is an apocalyptic number.

It is an amenable number.

82600628 is a deficient number, since it is larger than the sum of its proper divisors (76661356).

82600628 is a wasteful number, since it uses less digits than its factorization.

82600628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18703 (or 18701 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 82600628 is about 9088.4887632653. The cubic root of 82600628 is about 435.5063078988.

The spelling of 82600628 in words is "eighty-two million, six hundred thousand, six hundred twenty-eight".