85303008 has 288 divisors, whose sum is σ = 311351040. Its totient is φ = 21565440.

The previous prime is 85302983. The next prime is 85303033. The reversal of 85303008 is 80030358.

It is an interprime number because it is at equal distance from previous prime (85302983) and next prime (85303033).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 651103 + ... + 651233.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^85303008 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 85303008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

85303008 is an abundant number, since it is smaller than the sum of its proper divisors (226048032).

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

85303008 is a wasteful number, since it uses less digits than its factorization.

85303008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85303008 is about 9235.9627543641. The cubic root of 85303008 is about 440.2048082337.

The spelling of 85303008 in words is "eighty-five million, three hundred three thousand, eight".