85807296 has 224 divisors, whose sum is σ = 280903680. Its totient is φ = 25546752.

The previous prime is 85807261. The next prime is 85807321. The reversal of 85807296 is 69270858.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675585 + ... + 675711.

Almost surely, 2^85807296 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 85807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840).

85807296 is an abundant number, since it is smaller than the sum of its proper divisors (195096384).

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

85807296 is a wasteful number, since it uses less digits than its factorization.

85807296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 85807296 is about 9263.2227653231. Note that the first 3 decimals coincide. The cubic root of 85807296 is about 441.0705611561.

It can be divided in two parts, 8580 and 7296, that added together give a square (15876 = 126²).

The spelling of 85807296 in words is "eighty-five million, eight hundred seven thousand, two hundred ninety-six".