85249216 has 56 divisors (see below), whose sum is σ = 184627520. Its totient is φ = 38817792.

The previous prime is 85249193. The next prime is 85249223. The reversal of 85249216 is 61294258.

It is a super-2 number, since 2×85249216² = 14534857657229312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65080 + ... + 66376.

It is an arithmetic number, because the mean of its divisors is an integer number (3296920).

Almost surely, 2^85249216 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 85249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92313760).

85249216 is an abundant number, since it is smaller than the sum of its proper divisors (99378304).

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

85249216 is a wasteful number, since it uses less digits than its factorization.

85249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 85249216 is about 9233.0502002318. The cubic root of 85249216 is about 440.1122578584.

The spelling of 85249216 in words is "eighty-five million, two hundred forty-nine thousand, two hundred sixteen".