86768600 has 48 divisors (see below), whose sum is σ = 202386600. Its totient is φ = 34595840.

The previous prime is 86768599. The next prime is 86768641. The reversal of 86768600 is 686768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92936 + ... + 93864.

Almost surely, 2^86768600 is an apocalyptic number.

It is an amenable number.

86768600 is an abundant number, since it is smaller than the sum of its proper divisors (115618000).

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

86768600 is a wasteful number, since it uses less digits than its factorization.

86768600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 86768600 is about 9314.9664518988. The cubic root of 86768600 is about 442.7115610868.

The spelling of 86768600 in words is "eighty-six million, seven hundred sixty-eight thousand, six hundred".