85262600 has 48 divisors (see below), whose sum is σ = 199726800. Its totient is φ = 33848640.

The previous prime is 85262563. The next prime is 85262609. The reversal of 85262600 is 626258.

It is not an unprimeable number, because it can be changed into a prime (85262609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26267 + ... + 29333.

It is an arithmetic number, because the mean of its divisors is an integer number (4160975).

Almost surely, 2^85262600 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 85262600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99863400).

85262600 is an abundant number, since it is smaller than the sum of its proper divisors (114464200).

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

85262600 is a wasteful number, since it uses less digits than its factorization.

85262600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 85262600 is about 9233.7749593544. The cubic root of 85262600 is about 440.1352889763.

Adding to 85262600 its reverse (626258), we get a palindrome (85888858).

The spelling of 85262600 in words is "eighty-five million, two hundred sixty-two thousand, six hundred".