85709760 has 224 divisors, whose sum is σ = 296509440. Its totient is φ = 20901888.

The previous prime is 85709731. The next prime is 85709773. The reversal of 85709760 is 6790758.

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 31 ways as a sum of consecutive naturals, for example, 674817 + ... + 674943.

Almost surely, 2^85709760 is an apocalyptic number.

85709760 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 85709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148254720).

85709760 is an abundant number, since it is smaller than the sum of its proper divisors (210799680).

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

85709760 is a wasteful number, since it uses less digits than its factorization.

85709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 85709760 is about 9257.9565779928. The cubic root of 85709760 is about 440.9033781358.

The spelling of 85709760 in words is "eighty-five million, seven hundred nine thousand, seven hundred sixty".