85341760 has 112 divisors (see below), whose sum is σ = 239938560. Its totient is φ = 28293120.

The previous prime is 85341743. The next prime is 85341793. The reversal of 85341760 is 6714358.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68826 + ... + 70054.

Almost surely, 2^85341760 is an apocalyptic number.

85341760 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 85341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119969280).

85341760 is an abundant number, since it is smaller than the sum of its proper divisors (154596800).

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

85341760 is a wasteful number, since it uses less digits than its factorization.

85341760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 85341760 is about 9238.0604024871. The cubic root of 85341760 is about 440.2714578341.

The spelling of 85341760 in words is "eighty-five million, three hundred forty-one thousand, seven hundred sixty".