85261284 has 72 divisors (see below), whose sum is σ = 234241280. Its totient is φ = 26049600.

The previous prime is 85261279. The next prime is 85261289. The reversal of 85261284 is 48216258.

85261284 is a `hidden beast` number, since 8 + 526 + 128 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (85261279) and next prime (85261289).

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 (85261289) 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, 19194 + ... + 23214.

Almost surely, 2^85261284 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 85261284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117120640).

85261284 is an abundant number, since it is smaller than the sum of its proper divisors (148979996).

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

85261284 is a wasteful number, since it uses less digits than its factorization.

85261284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4076 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 85261284 is about 9233.7036989498. The cubic root of 85261284 is about 440.1330245171.

The spelling of 85261284 in words is "eighty-five million, two hundred sixty-one thousand, two hundred eighty-four".