85502160 has 120 divisors (see below), whose sum is σ = 289434600. Its totient is φ = 22619136.

The previous prime is 85502149. The next prime is 85502167. The reversal of 85502160 is 6120558.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 84713616 = 888^2 + 9204^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85502167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106882 + ... + 107678.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^85502160 is an apocalyptic number.

85502160 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 85502160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144717300).

85502160 is an abundant number, since it is smaller than the sum of its proper divisors (203932440).

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

85502160 is a wasteful number, since it uses less digits than its factorization.

85502160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 956 counting only the distinct ones).

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

The square root of 85502160 is about 9246.7378031390. The cubic root of 85502160 is about 440.5471155535.

The spelling of 85502160 in words is "eighty-five million, five hundred two thousand, one hundred sixty".