85668660 has 216 divisors, whose sum is σ = 330142176. Its totient is φ = 17781120.

The previous prime is 85668613. The next prime is 85668673. The reversal of 85668660 is 6686658.

85668660 is a `hidden beast` number, since 8 + 566 + 86 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 96579 + ... + 97461.

It is an arithmetic number, because the mean of its divisors is an integer number (1528436).

Almost surely, 2^85668660 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 85668660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165071088).

85668660 is an abundant number, since it is smaller than the sum of its proper divisors (244473516).

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

85668660 is a wasteful number, since it uses less digits than its factorization.

85668660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 85668660 is about 9255.7365995365. The cubic root of 85668660 is about 440.8328920903.

The spelling of 85668660 in words is "eighty-five million, six hundred sixty-eight thousand, six hundred sixty".