85936536 has 48 divisors (see below), whose sum is σ = 265995600. Its totient is φ = 24553152.

The previous prime is 85936523. The next prime is 85936553. The reversal of 85936536 is 63563958.

85936536 is a `hidden beast` number, since 8 + 593 + 6 + 53 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85936491 and 85936500.

It is a congruent number.

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, 84751 + ... + 85758.

It is an arithmetic number, because the mean of its divisors is an integer number (5541575).

Almost surely, 2^85936536 is an apocalyptic number.

It is an amenable number.

85936536 is an abundant number, since it is smaller than the sum of its proper divisors (180059064).

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

85936536 is a wasteful number, since it uses less digits than its factorization.

85936536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170528 (or 170521 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 85936536 is about 9270.1961144304. The cubic root of 85936536 is about 441.2918918462.

It can be divided in two parts, 8593 and 6536, that added together give a square (15129 = 123²).

The spelling of 85936536 in words is "eighty-five million, nine hundred thirty-six thousand, five hundred thirty-six".