85045590 has 96 divisors (see below), whose sum is σ = 256965696. Its totient is φ = 19111680.

The previous prime is 85045567. The next prime is 85045591. The reversal of 85045590 is 9554058.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85045591) 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, 37324 + ... + 39536.

It is an arithmetic number, because the mean of its divisors is an integer number (2676726).

Almost surely, 2^85045590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85045590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128482848).

85045590 is an abundant number, since it is smaller than the sum of its proper divisors (171920106).

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

85045590 is a wasteful number, since it uses less digits than its factorization.

85045590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 85045590 is about 9222.0165907463. The cubic root of 85045590 is about 439.7615615836.

The spelling of 85045590 in words is "eighty-five million, forty-five thousand, five hundred ninety".