85202208 has 144 divisors (see below), whose sum is σ = 298299456. Its totient is φ = 22464000.

The previous prime is 85202207. The next prime is 85202209. The reversal of 85202208 is 80220258.

It is an interprime number because it is at equal distance from previous prime (85202207) and next prime (85202209).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85202207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24583 + ... + 27833.

It is an arithmetic number, because the mean of its divisors is an integer number (2071524).

Almost surely, 2^85202208 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 85202208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149149728).

85202208 is an abundant number, since it is smaller than the sum of its proper divisors (213097248).

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

85202208 is a wasteful number, since it uses less digits than its factorization.

85202208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 85202208 is about 9230.5042115802. The cubic root of 85202208 is about 440.0313476289.

The spelling of 85202208 in words is "eighty-five million, two hundred two thousand, two hundred eight".