85805664 has 288 divisors, whose sum is σ = 294749280. Its totient is φ = 21676032.

The previous prime is 85805651. The next prime is 85805689. The reversal of 85805664 is 46650858.

It is a super-2 number, since 2×85805664² = 14725223948961792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2319054 + ... + 2319090.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435).

Almost surely, 2^85805664 is an apocalyptic number.

85805664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85805664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147374640).

85805664 is an abundant number, since it is smaller than the sum of its proper divisors (208943616).

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

85805664 is a wasteful number, since it uses less digits than its factorization.

85805664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 85805664 is about 9263.1346746120. The cubic root of 85805664 is about 441.0677648449.

The spelling of 85805664 in words is "eighty-five million, eight hundred five thousand, six hundred sixty-four".