85201890 has 128 divisors (see below), whose sum is σ = 230307840. Its totient is φ = 20072448.

The previous prime is 85201873. The next prime is 85201903. The reversal of 85201890 is 9810258.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 878322 + ... + 878418.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 2^85201890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85201890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

85201890 is an abundant number, since it is smaller than the sum of its proper divisors (145105950).

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

85201890 is a wasteful number, since it uses less digits than its factorization.

85201890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 85201890 is about 9230.4869860696. The cubic root of 85201890 is about 440.0308001855.

The spelling of 85201890 in words is "eighty-five million, two hundred one thousand, eight hundred ninety".