85144536 has 48 divisors (see below), whose sum is σ = 236232360. Its totient is φ = 27688320.

The previous prime is 85144531. The next prime is 85144559. The reversal of 85144536 is 63544158.

It is a happy number.

85144536 is a `hidden beast` number, since 85 + 1 + 44 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85144536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85144531) 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, 11470 + ... + 17373.

Almost surely, 2^85144536 is an apocalyptic number.

It is an amenable number.

85144536 is an abundant number, since it is smaller than the sum of its proper divisors (151087824).

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

85144536 is a wasteful number, since it uses less digits than its factorization.

85144536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28896 (or 28889 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85144536 is about 9227.3796930656. The cubic root of 85144536 is about 439.9320418460.

The spelling of 85144536 in words is "eighty-five million, one hundred forty-four thousand, five hundred thirty-six".