85342160 has 20 divisors (see below), whose sum is σ = 198420708. Its totient is φ = 34136832.

The previous prime is 85342141. The next prime is 85342171. The reversal of 85342160 is 6124358.

It can be written as a sum of positive squares in 2 ways, for example, as 56911936 + 28430224 = 7544^2 + 5332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 533309 + ... + 533468.

Almost surely, 2^85342160 is an apocalyptic number.

85342160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85342160 is an abundant number, since it is smaller than the sum of its proper divisors (113078548).

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

85342160 is a wasteful number, since it uses less digits than its factorization.

85342160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066790 (or 1066784 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 85342160 is about 9238.0820520279. The cubic root of 85342160 is about 440.2721456893.

The spelling of 85342160 in words is "eighty-five million, three hundred forty-two thousand, one hundred sixty".