85232160 has 288 divisors, whose sum is σ = 326093040. Its totient is φ = 20127744.

The previous prime is 85232143. The next prime is 85232177. The reversal of 85232160 is 6123258.

It is an interprime number because it is at equal distance from previous prime (85232143) and next prime (85232177).

It can be written as a sum of positive squares in 8 ways, for example, as 14470416 + 70761744 = 3804^2 + 8412^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542802 + ... + 542958.

Almost surely, 2^85232160 is an apocalyptic number.

85232160 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 85232160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163046520).

85232160 is an abundant number, since it is smaller than the sum of its proper divisors (240860880).

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

85232160 is a wasteful number, since it uses less digits than its factorization.

85232160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85232160 is about 9232.1265155976. The cubic root of 85232160 is about 440.0829044884.

The spelling of 85232160 in words is "eighty-five million, two hundred thirty-two thousand, one hundred sixty".