85206450 has 96 divisors (see below), whose sum is σ = 254269440. Its totient is φ = 18446400.

The previous prime is 85206419. The next prime is 85206463. The reversal of 85206450 is 5460258.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 17815 + ... + 22085.

It is an arithmetic number, because the mean of its divisors is an integer number (2648640).

Almost surely, 2^85206450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85206450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127134720).

85206450 is an abundant number, since it is smaller than the sum of its proper divisors (169062990).

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

85206450 is a wasteful number, since it uses less digits than its factorization.

85206450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 85206450 is about 9230.7339903173. The cubic root of 85206450 is about 440.0386501861.

The spelling of 85206450 in words is "eighty-five million, two hundred six thousand, four hundred fifty".