85739296 has 36 divisors (see below), whose sum is σ = 179179938. Its totient is φ = 40246272.

The previous prime is 85739293. The next prime is 85739333. The reversal of 85739296 is 69293758.

It can be written as a sum of positive squares in 3 ways, for example, as 85303696 + 435600 = 9236^2 + 660^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85739293) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215770 + ... + 216166.

Almost surely, 2^85739296 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 85739296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89589969).

85739296 is an abundant number, since it is smaller than the sum of its proper divisors (93440642).

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

85739296 is an equidigital number, since it uses as much as digits as its factorization.

85739296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 416 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 85739296 is about 9259.5516090143. The cubic root of 85739296 is about 440.9540181352.

The spelling of 85739296 in words is "eighty-five million, seven hundred thirty-nine thousand, two hundred ninety-six".