85212000 has 240 divisors, whose sum is σ = 313945632. Its totient is φ = 22636800.

The previous prime is 85211993. The next prime is 85212013. The reversal of 85212000 is 21258.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×85212000² = 14522169888000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 323869 + ... + 324131.

Almost surely, 2^85212000 is an apocalyptic number.

85212000 is a gapful number since it is divisible by the number (80) 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 85212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156972816).

85212000 is an abundant number, since it is smaller than the sum of its proper divisors (228733632).

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

85212000 is a wasteful number, since it uses less digits than its factorization.

85212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 85212000 is about 9231.0346115698. The cubic root of 85212000 is about 440.0482040852.

Adding to 85212000 its reverse (21258), we get a palindrome (85233258).

The spelling of 85212000 in words is "eighty-five million, two hundred twelve thousand".