85546890 has 288 divisors, whose sum is σ = 289650816. Its totient is φ = 17233920.

The previous prime is 85546871. The next prime is 85546891. The reversal of 85546890 is 9864558.

85546890 is a `hidden beast` number, since 8 + 554 + 6 + 8 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85546891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3719419 + ... + 3719441.

It is an arithmetic number, because the mean of its divisors is an integer number (1005732).

Almost surely, 2^85546890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85546890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144825408).

85546890 is an abundant number, since it is smaller than the sum of its proper divisors (204103926).

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

85546890 is a wasteful number, since it uses less digits than its factorization.

85546890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85546890 is about 9249.1561777278. The cubic root of 85546890 is about 440.6239254538.

It can be divided in two parts, 855468 and 90, that added together give a palindrome (855558).

The spelling of 85546890 in words is "eighty-five million, five hundred forty-six thousand, eight hundred ninety".