85017760 has 48 divisors (see below), whose sum is σ = 202881672. Its totient is φ = 33664000.

The previous prime is 85017733. The next prime is 85017781. The reversal of 85017760 is 6771058.

It can be written as a sum of positive squares in 4 ways, for example, as 84860944 + 156816 = 9212^2 + 396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13530 + ... + 18790.

Almost surely, 2^85017760 is an apocalyptic number.

85017760 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 85017760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101440836).

85017760 is an abundant number, since it is smaller than the sum of its proper divisors (117863912).

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

85017760 is a wasteful number, since it uses less digits than its factorization.

85017760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 85017760 is about 9220.5075782193. The cubic root of 85017760 is about 439.7135877088.

It can be divided in two parts, 8501 and 7760, that added together give a palindrome (16261).

The spelling of 85017760 in words is "eighty-five million, seventeen thousand, seven hundred sixty".