85161760 has 24 divisors (see below), whose sum is σ = 201195036. Its totient is φ = 34064640.

The previous prime is 85161751. The next prime is 85161761. The reversal of 85161760 is 6716158.

It can be written as a sum of positive squares in 2 ways, for example, as 85155984 + 5776 = 9228^2 + 76^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85161761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 265971 + ... + 266290.

Almost surely, 2^85161760 is an apocalyptic number.

85161760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85161760 is an abundant number, since it is smaller than the sum of its proper divisors (116033276).

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

85161760 is a wasteful number, since it uses less digits than its factorization.

85161760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532276 (or 532268 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 85161760 is about 9228.3129552481. The cubic root of 85161760 is about 439.9617046560.

The spelling of 85161760 in words is "eighty-five million, one hundred sixty-one thousand, seven hundred sixty".