85291050 has 96 divisors (see below), whose sum is σ = 229985280. Its totient is φ = 20793600.

The previous prime is 85291009. The next prime is 85291051. The reversal of 85291050 is 5019258.

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

It is a junction number, because it is equal to n+sod(n) for n = 85290999 and 85291017.

It is not an unprimeable number, because it can be changed into a prime (85291051) by changing a digit.

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, 372336 + ... + 372564.

It is an arithmetic number, because the mean of its divisors is an integer number (2395680).

Almost surely, 2^85291050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85291050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114992640).

85291050 is an abundant number, since it is smaller than the sum of its proper divisors (144694230).

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

85291050 is a wasteful number, since it uses less digits than its factorization.

85291050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 85291050 is about 9235.3153709010. The cubic root of 85291050 is about 440.1842375832.

The spelling of 85291050 in words is "eighty-five million, two hundred ninety-one thousand, fifty".