85215276 has 72 divisors (see below), whose sum is σ = 227301984. Its totient is φ = 26864640.

The previous prime is 85215157. The next prime is 85215283. The reversal of 85215276 is 67251258.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85215276.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79786 + ... + 80846.

It is an arithmetic number, because the mean of its divisors is an integer number (3156972).

Almost surely, 2^85215276 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 85215276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113650992).

85215276 is an abundant number, since it is smaller than the sum of its proper divisors (142086708).

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

85215276 is a wasteful number, since it uses less digits than its factorization.

85215276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1186 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 85215276 is about 9231.2120547629. The cubic root of 85215276 is about 440.0538432731.

It can be divided in two parts, 85215 and 276, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 85215276 in words is "eighty-five million, two hundred fifteen thousand, two hundred seventy-six".