85787136 has 60 divisors (see below), whose sum is σ = 247600782. Its totient is φ = 28594176.

The previous prime is 85787089. The next prime is 85787161. The reversal of 85787136 is 63178758.

85787136 is a `hidden beast` number, since 8 + 578 + 71 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 36000000 = 7056^2 + 6000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85787091 and 85787100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4701 + ... + 13916.

Almost surely, 2^85787136 is an apocalyptic number.

It is an amenable number.

85787136 is an abundant number, since it is smaller than the sum of its proper divisors (161813646).

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

85787136 is a wasteful number, since it uses less digits than its factorization.

85787136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18641 (or 18622 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 85787136 is about 9262.1345272027. The cubic root of 85787136 is about 441.0360160013.

The spelling of 85787136 in words is "eighty-five million, seven hundred eighty-seven thousand, one hundred thirty-six".