85832208 has 120 divisors (see below), whose sum is σ = 299522496. Its totient is φ = 22291200.

The previous prime is 85832203. The next prime is 85832213. The reversal of 85832208 is 80223858.

It is an interprime number because it is at equal distance from previous prime (85832203) and next prime (85832213).

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

It is not an unprimeable number, because it can be changed into a prime (85832203) 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 23 ways as a sum of consecutive naturals, for example, 7218 + ... + 14958.

Almost surely, 2^85832208 is an apocalyptic number.

85832208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85832208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149761248).

85832208 is an abundant number, since it is smaller than the sum of its proper divisors (213690288).

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

85832208 is a wasteful number, since it uses less digits than its factorization.

85832208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85832208 is about 9264.5673401406. The cubic root of 85832208 is about 441.1132416240.

The spelling of 85832208 in words is "eighty-five million, eight hundred thirty-two thousand, two hundred eight".