85520160 has 144 divisors (see below), whose sum is σ = 318427200. Its totient is φ = 20728320.

The previous prime is 85520143. The next prime is 85520173. The reversal of 85520160 is 6102558.

85520160 is a `hidden beast` number, since 85 + 520 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13141 + ... + 18539.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^85520160 is an apocalyptic number.

85520160 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 85520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159213600).

85520160 is an abundant number, since it is smaller than the sum of its proper divisors (232907040).

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

85520160 is a wasteful number, since it uses less digits than its factorization.

85520160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 85520160 is about 9247.7110681509. The cubic root of 85520160 is about 440.5780281904.

The spelling of 85520160 in words is "eighty-five million, five hundred twenty thousand, one hundred sixty".