85276224 has 168 divisors, whose sum is σ = 273722592. Its totient is φ = 25159680.

The previous prime is 85276223. The next prime is 85276229. The reversal of 85276224 is 42267258.

85276224 is a `hidden beast` number, since 8 + 5 + 27 + 622 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85276223) 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, 272292 + ... + 272604.

Almost surely, 2^85276224 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 85276224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136861296).

85276224 is an abundant number, since it is smaller than the sum of its proper divisors (188446368).

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

85276224 is a wasteful number, since it uses less digits than its factorization.

85276224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 85276224 is about 9234.5126563344. The cubic root of 85276224 is about 440.1587306096.

The spelling of 85276224 in words is "eighty-five million, two hundred seventy-six thousand, two hundred twenty-four".