85101760 has 56 divisors (see below), whose sum is σ = 213329520. Its totient is φ = 32246784.

The previous prime is 85101719. The next prime is 85101761. The reversal of 85101760 is 6710158.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85101761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 919 + ... + 13078.

Almost surely, 2^85101760 is an apocalyptic number.

85101760 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 85101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106664760).

85101760 is an abundant number, since it is smaller than the sum of its proper divisors (128227760).

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

85101760 is a wasteful number, since it uses less digits than its factorization.

85101760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14033 (or 14023 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 85101760 is about 9225.0615174101. The cubic root of 85101760 is about 439.8583566114.

The spelling of 85101760 in words is "eighty-five million, one hundred one thousand, seven hundred sixty".