85666960 has 40 divisors (see below), whose sum is σ = 201917880. Its totient is φ = 33795072.

The previous prime is 85666943. The next prime is 85666963. The reversal of 85666960 is 6966658.

It can be written as a sum of positive squares in 4 ways, for example, as 14837904 + 70829056 = 3852^2 + 8416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 85666960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85666963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1495 + ... + 13174.

It is an arithmetic number, because the mean of its divisors is an integer number (5047947).

Almost surely, 2^85666960 is an apocalyptic number.

85666960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85666960 is an abundant number, since it is smaller than the sum of its proper divisors (116250920).

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

85666960 is a wasteful number, since it uses less digits than its factorization.

85666960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14755 (or 14749 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 85666960 is about 9255.6447641426. The cubic root of 85666960 is about 440.8299761236.

The spelling of 85666960 in words is "eighty-five million, six hundred sixty-six thousand, nine hundred sixty".