85066200 has 240 divisors, whose sum is σ = 303831000. Its totient is φ = 22049280.

The previous prime is 85066183. The next prime is 85066217. The reversal of 85066200 is 266058.

It is an interprime number because it is at equal distance from previous prime (85066183) and next prime (85066217).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 955756 + ... + 955844.

Almost surely, 2^85066200 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 85066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151915500).

85066200 is an abundant number, since it is smaller than the sum of its proper divisors (218764800).

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

85066200 is a wasteful number, since it uses less digits than its factorization.

85066200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

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

The square root of 85066200 is about 9223.1339576090. The cubic root of 85066200 is about 439.7970827424.

It can be divided in two parts, 8506 and 6200, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 85066200 in words is "eighty-five million, sixty-six thousand, two hundred".