85849200 has 120 divisors (see below), whose sum is σ = 305598000. Its totient is φ = 22890240.

The previous prime is 85849187. The next prime is 85849207. The reversal of 85849200 is 294858.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85849207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6826 + ... + 14774.

It is an arithmetic number, because the mean of its divisors is an integer number (2546650).

Almost surely, 2^85849200 is an apocalyptic number.

85849200 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 85849200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152799000).

85849200 is an abundant number, since it is smaller than the sum of its proper divisors (219748800).

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

85849200 is a wasteful number, since it uses less digits than its factorization.

85849200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7976 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85849200 is about 9265.4843370436. The cubic root of 85849200 is about 441.1423484198.

The spelling of 85849200 in words is "eighty-five million, eight hundred forty-nine thousand, two hundred".