85788600 has 48 divisors (see below), whose sum is σ = 265946520. Its totient is φ = 22876800.

The previous prime is 85788587. The next prime is 85788601. The reversal of 85788600 is 688758.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85788601) by changing a digit.

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, 70891 + ... + 72090.

Almost surely, 2^85788600 is an apocalyptic number.

It is an amenable number.

85788600 is an abundant number, since it is smaller than the sum of its proper divisors (180157920).

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

85788600 is a wasteful number, since it uses less digits than its factorization.

85788600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143000 (or 142991 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 85788600 is about 9262.2135583239. The cubic root of 85788600 is about 441.0385248197.

The spelling of 85788600 in words is "eighty-five million, seven hundred eighty-eight thousand, six hundred".