85665600 has 210 divisors, whose sum is σ = 315361574. Its totient is φ = 22809600.

The previous prime is 85665599. The next prime is 85665659. The reversal of 85665600 is 656658.

It can be written as a sum of positive squares in 3 ways, for example, as 13483584 + 72182016 = 3672^2 + 8496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 129270 + ... + 129930.

Almost surely, 2^85665600 is an apocalyptic number.

85665600 is a gapful number since it is divisible by the number (80) 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 85665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157680787).

85665600 is an abundant number, since it is smaller than the sum of its proper divisors (229695974).

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

85665600 is a wasteful number, since it uses less digits than its factorization.

85665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 85665600 is about 9255.5712951714. The cubic root of 85665600 is about 440.8276433225.

The spelling of 85665600 in words is "eighty-five million, six hundred sixty-five thousand, six hundred".