85890420 has 144 divisors (see below), whose sum is σ = 324874368. Its totient is φ = 17844480.

The previous prime is 85890407. The next prime is 85890421. The reversal of 85890420 is 2409858.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85890421) 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, 10762 + ... + 16958.

It is an arithmetic number, because the mean of its divisors is an integer number (2256072).

Almost surely, 2^85890420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85890420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162437184).

85890420 is an abundant number, since it is smaller than the sum of its proper divisors (238983948).

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

85890420 is a wasteful number, since it uses less digits than its factorization.

85890420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6225 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85890420 is about 9267.7084546289. The cubic root of 85890420 is about 441.2129411105.

The spelling of 85890420 in words is "eighty-five million, eight hundred ninety thousand, four hundred twenty".