85215000 has 320 divisors, whose sum is σ = 314899200. Its totient is φ = 19008000.

The previous prime is 85214993. The next prime is 85215007. The reversal of 85215000 is 51258.

It is an interprime number because it is at equal distance from previous prime (85214993) and next prime (85215007).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85215007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3704989 + ... + 3705011.

It is an arithmetic number, because the mean of its divisors is an integer number (984060).

Almost surely, 2^85215000 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 85215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157449600).

85215000 is an abundant number, since it is smaller than the sum of its proper divisors (229684200).

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

85215000 is a wasteful number, since it uses less digits than its factorization.

85215000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 85215000 is about 9231.1971054680. The cubic root of 85215000 is about 440.0533681823.

Adding to 85215000 its reverse (51258), we get a palindrome (85266258).

The spelling of 85215000 in words is "eighty-five million, two hundred fifteen thousand".