85491200 has 60 divisors (see below), whose sum is σ = 211842840. Its totient is φ = 34191360.

The previous prime is 85491199. The next prime is 85491223. The reversal of 85491200 is 219458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9461 + ... + 16139.

It is an arithmetic number, because the mean of its divisors is an integer number (3530714).

Almost surely, 2^85491200 is an apocalyptic number.

85491200 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 85491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105921420).

85491200 is an abundant number, since it is smaller than the sum of its proper divisors (126351640).

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

85491200 is an equidigital number, since it uses as much as digits as its factorization.

85491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 85491200 is about 9246.1451427068. The cubic root of 85491200 is about 440.5282910672.

The spelling of 85491200 in words is "eighty-five million, four hundred ninety-one thousand, two hundred".