85366580 has 24 divisors (see below), whose sum is σ = 193060392. Its totient is φ = 31519872.

The previous prime is 85366577. The next prime is 85366583. The reversal of 85366580 is 8566358.

It is an interprime number because it is at equal distance from previous prime (85366577) and next prime (85366583).

It can be written as a sum of positive squares in 4 ways, for example, as 20757136 + 64609444 = 4556^2 + 8038^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85366583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163907 + ... + 164426.

It is an arithmetic number, because the mean of its divisors is an integer number (8044183).

Almost surely, 2^85366580 is an apocalyptic number.

It is an amenable number.

85366580 is an abundant number, since it is smaller than the sum of its proper divisors (107693812).

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

85366580 is a wasteful number, since it uses less digits than its factorization.

85366580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328355 (or 328353 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 85366580 is about 9239.4036604101. The cubic root of 85366580 is about 440.3141351760.

The spelling of 85366580 in words is "eighty-five million, three hundred sixty-six thousand, five hundred eighty".