85161500 has 96 divisors (see below), whose sum is σ = 202378176. Its totient is φ = 31180800.

The previous prime is 85161497. The next prime is 85161511. The reversal of 85161500 is 516158.

85161500 = T₁₀₁ + T₁₀₂ + ... + T₇₉₉.

It is a self number, because there is not a number n which added to its sum of digits gives 85161500.

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 31 ways as a sum of consecutive naturals, for example, 365384 + ... + 365616.

It is an arithmetic number, because the mean of its divisors is an integer number (2108106).

Almost surely, 2^85161500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85161500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101189088).

85161500 is an abundant number, since it is smaller than the sum of its proper divisors (117216676).

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

85161500 is a wasteful number, since it uses less digits than its factorization.

85161500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 85161500 is about 9228.2988681555. The cubic root of 85161500 is about 439.9612569193.

Adding to 85161500 its reverse (516158), we get a palindrome (85677658).

The spelling of 85161500 in words is "eighty-five million, one hundred sixty-one thousand, five hundred".