85158400 has 60 divisors (see below), whose sum is σ = 211018302. Its totient is φ = 34058240.

The previous prime is 85158391. The next prime is 85158401. The reversal of 85158400 is 485158.

It can be written as a sum of positive squares in 3 ways, for example, as 37161216 + 47997184 = 6096^2 + 6928^2 .

It is not an unprimeable number, because it can be changed into a prime (85158401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9474 + ... + 16126.

Almost surely, 2^85158400 is an apocalyptic number.

85158400 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 85158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105509151).

85158400 is an abundant number, since it is smaller than the sum of its proper divisors (125859902).

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

85158400 is an equidigital number, since it uses as much as digits as its factorization.

85158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6681 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 85158400 is about 9228.1309050100. The cubic root of 85158400 is about 439.9559184488.

It can be divided in two parts, 85158 and 400, that added together give a palindrome (85558).

The spelling of 85158400 in words is "eighty-five million, one hundred fifty-eight thousand, four hundred".