85346550 has 72 divisors (see below), whose sum is σ = 231982920. Its totient is φ = 22492800.

The previous prime is 85346549. The next prime is 85346551. The reversal of 85346550 is 5564358.

It is an interprime number because it is at equal distance from previous prime (85346549) and next prime (85346551).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85346551) 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 35 ways as a sum of consecutive naturals, for example, 38985 + ... + 41115.

It is an arithmetic number, because the mean of its divisors is an integer number (3221985).

Almost surely, 2^85346550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85346550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115991460).

85346550 is an abundant number, since it is smaller than the sum of its proper divisors (146636370).

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

85346550 is a wasteful number, since it uses less digits than its factorization.

85346550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 85346550 is about 9238.3196524043. The cubic root of 85346550 is about 440.2796947583.

The spelling of 85346550 in words is "eighty-five million, three hundred forty-six thousand, five hundred fifty".