85151600 has 60 divisors (see below), whose sum is σ = 205823136. Its totient is φ = 33853440.

The previous prime is 85151593. The next prime is 85151603. The reversal of 85151600 is 615158.

It is a self number, because there is not a number n which added to its sum of digits gives 85151600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85151603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 76649 + ... + 77751.

Almost surely, 2^85151600 is an apocalyptic number.

85151600 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 85151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102911568).

85151600 is an abundant number, since it is smaller than the sum of its proper divisors (120671536).

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

85151600 is a wasteful number, since it uses less digits than its factorization.

85151600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1303 counting only the distinct ones).

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

The square root of 85151600 is about 9227.7624590146. The cubic root of 85151600 is about 439.9442078019.

Adding to 85151600 its reverse (615158), we get a palindrome (85766758).

The spelling of 85151600 in words is "eighty-five million, one hundred fifty-one thousand, six hundred".