85945020 has 288 divisors, whose sum is σ = 308883456. Its totient is φ = 17740800.

The previous prime is 85945001. The next prime is 85945021. The reversal of 85945020 is 2054958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85945021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2096200 + ... + 2096240.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 2^85945020 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 85945020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

85945020 is an abundant number, since it is smaller than the sum of its proper divisors (222938436).

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

85945020 is a wasteful number, since it uses less digits than its factorization.

85945020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 85945020 is about 9270.6536986342. The cubic root of 85945020 is about 441.3064134043.

Adding to 85945020 its reverse (2054958), we get a palindrome (87999978).

The spelling of 85945020 in words is "eighty-five million, nine hundred forty-five thousand, twenty".