85768002 has 24 divisors (see below), whose sum is σ = 186039984. Its totient is φ = 28557144.

The previous prime is 85767971. The next prime is 85768019. The reversal of 85768002 is 20086758.

85768002 is a `hidden beast` number, since 8 + 576 + 80 + 0 + 2 = 666.

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 11 ways as a sum of consecutive naturals, for example, 18093 + ... + 22335.

It is an arithmetic number, because the mean of its divisors is an integer number (7751666).

Almost surely, 2^85768002 is an apocalyptic number.

85768002 is an abundant number, since it is smaller than the sum of its proper divisors (100271982).

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

85768002 is a wasteful number, since it uses less digits than its factorization.

85768002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85768002 is about 9261.1015543509. The cubic root of 85768002 is about 441.0032239418.

The spelling of 85768002 in words is "eighty-five million, seven hundred sixty-eight thousand, two".