85306866340 has 24 divisors (see below), whose sum is σ = 179250055992. Its totient is φ = 34102625280.

The previous prime is 85306866313. The next prime is 85306866341. The reversal of 85306866340 is 4366860358.

It can be written as a sum of positive squares in 4 ways, for example, as 28612399104 + 56694467236 = 169152^2 + 238106^2 .

It is a super-3 number, since 3×85306866340³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (85306866341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222791 + ... + 1290670.

It is an arithmetic number, because the mean of its divisors is an integer number (7468752333).

Almost surely, 2^85306866340 is an apocalyptic number.

It is an amenable number.

85306866340 is an abundant number, since it is smaller than the sum of its proper divisors (93943189652).

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

85306866340 is a wasteful number, since it uses less digits than its factorization.

85306866340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515167 (or 2515165 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 85306866340 in words is "eighty-five billion, three hundred six million, eight hundred sixty-six thousand, three hundred forty".