85445640 has 192 divisors, whose sum is σ = 325503360. Its totient is φ = 19031040.

The previous prime is 85445609. The next prime is 85445653. The reversal of 85445640 is 4654458.

85445640 is a `hidden beast` number, since 8 + 5 + 4 + 4 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85445595 and 85445604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 102907 + ... + 103733.

It is an arithmetic number, because the mean of its divisors is an integer number (1695330).

Almost surely, 2^85445640 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 85445640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

85445640 is an abundant number, since it is smaller than the sum of its proper divisors (240057720).

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

85445640 is a wasteful number, since it uses less digits than its factorization.

85445640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 85445640 is about 9243.6810849358. The cubic root of 85445640 is about 440.4500216652.

The spelling of 85445640 in words is "eighty-five million, four hundred forty-five thousand, six hundred forty".