85349000 has 64 divisors (see below), whose sum is σ = 217900800. Its totient is φ = 31032000.

The previous prime is 85348999. The next prime is 85349041. The reversal of 85349000 is 94358.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7121 + ... + 14879.

It is an arithmetic number, because the mean of its divisors is an integer number (3404700).

Almost surely, 2^85349000 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 85349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108950400).

85349000 is an abundant number, since it is smaller than the sum of its proper divisors (132551800).

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

85349000 is a wasteful number, since it uses less digits than its factorization.

85349000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7791 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 85349000 is about 9238.4522513244. The cubic root of 85349000 is about 440.2839076798.

The spelling of 85349000 in words is "eighty-five million, three hundred forty-nine thousand".