85903566 has 96 divisors (see below), whose sum is σ = 210535200. Its totient is φ = 23272704.

The previous prime is 85903561. The next prime is 85903591. The reversal of 85903566 is 66530958.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85903561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576460 + ... + 576608.

It is an arithmetic number, because the mean of its divisors is an integer number (2193075).

Almost surely, 2^85903566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85903566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105267600).

85903566 is an abundant number, since it is smaller than the sum of its proper divisors (124631634).

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

85903566 is a wasteful number, since it uses less digits than its factorization.

85903566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 85903566 is about 9268.4176643049. The cubic root of 85903566 is about 441.2354499826.

The spelling of 85903566 in words is "eighty-five million, nine hundred three thousand, five hundred sixty-six".