83628680 has 16 divisors (see below), whose sum is σ = 188164620. Its totient is φ = 33451456.

The previous prime is 83628659. The next prime is 83628733. The reversal of 83628680 is 8682638.

It can be written as a sum of positive squares in 2 ways, for example, as 81685444 + 1943236 = 9038^2 + 1394^2 .

It is a super-2 number, since 2×83628680² = 13987512237084800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1045319 + ... + 1045398.

Almost surely, 2^83628680 is an apocalyptic number.

It is an amenable number.

83628680 is an abundant number, since it is smaller than the sum of its proper divisors (104535940).

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

83628680 is a wasteful number, since it uses less digits than its factorization.

83628680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090728 (or 2090724 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 83628680 is about 9144.8717869634. The cubic root of 83628680 is about 437.3056421053.

The spelling of 83628680 in words is "eighty-three million, six hundred twenty-eight thousand, six hundred eighty".