85509216 has 192 divisors, whose sum is σ = 281111040. Its totient is φ = 25090560.

The previous prime is 85509211. The next prime is 85509223. The reversal of 85509216 is 61290558.

It is a happy number.

85509216 is a `hidden beast` number, since 8 + 550 + 92 + 16 = 666.

85509216 is nontrivially palindromic in base 5.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85509211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258171 + ... + 258501.

It is an arithmetic number, because the mean of its divisors is an integer number (1464120).

Almost surely, 2^85509216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85509216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140555520).

85509216 is an abundant number, since it is smaller than the sum of its proper divisors (195601824).

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

85509216 is a wasteful number, since it uses less digits than its factorization.

85509216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 85509216 is about 9247.1193352308. The cubic root of 85509216 is about 440.5592338241.

It can be divided in two parts, 8550 and 9216, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 85509216 in words is "eighty-five million, five hundred nine thousand, two hundred sixteen".