85416212 has 36 divisors (see below), whose sum is σ = 175207284. Its totient is φ = 36328320.

The previous prime is 85416209. The next prime is 85416217. The reversal of 85416212 is 21261458.

It can be written as a sum of positive squares in 2 ways, for example, as 25260676 + 60155536 = 5026^2 + 7756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85416217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25262 + ... + 28442.

It is an arithmetic number, because the mean of its divisors is an integer number (4866869).

Almost surely, 2^85416212 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 85416212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87603642).

85416212 is an abundant number, since it is smaller than the sum of its proper divisors (89791072).

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

85416212 is a wasteful number, since it uses less digits than its factorization.

85416212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3327 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 85416212 is about 9242.0891577608. The cubic root of 85416212 is about 440.3994513004.

The spelling of 85416212 in words is "eighty-five million, four hundred sixteen thousand, two hundred twelve".