85890144 has 24 divisors (see below), whose sum is σ = 225461880. Its totient is φ = 28630016.

The previous prime is 85890131. The next prime is 85890149. The reversal of 85890144 is 44109858.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85890149) 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 3 ways as a sum of consecutive naturals, for example, 447249 + ... + 447440.

It is an arithmetic number, because the mean of its divisors is an integer number (9394245).

Almost surely, 2^85890144 is an apocalyptic number.

It is an amenable number.

85890144 is an abundant number, since it is smaller than the sum of its proper divisors (139571736).

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

85890144 is a wasteful number, since it uses less digits than its factorization.

85890144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894702 (or 894694 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 85890144 is about 9267.6935642046. The cubic root of 85890144 is about 441.2124685126.

The spelling of 85890144 in words is "eighty-five million, eight hundred ninety thousand, one hundred forty-four".