85014216 has 72 divisors (see below), whose sum is σ = 267849270. Its totient is φ = 24288768.

The previous prime is 85014199. The next prime is 85014239. The reversal of 85014216 is 61241058.

It can be written as a sum of positive squares in only one way, i.e., 61685316 + 23328900 = 7854^2 + 4830^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 85014216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8521 + ... + 15576.

Almost surely, 2^85014216 is an apocalyptic number.

It is an amenable number.

85014216 is an abundant number, since it is smaller than the sum of its proper divisors (182835054).

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

85014216 is a wasteful number, since it uses less digits than its factorization.

85014216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24123 (or 24109 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85014216 is about 9220.3153959070. The cubic root of 85014216 is about 439.7074777438.

The spelling of 85014216 in words is "eighty-five million, fourteen thousand, two hundred sixteen".