85286124 has 108 divisors (see below), whose sum is σ = 270913552. Its totient is φ = 22144320.

The previous prime is 85286111. The next prime is 85286167. The reversal of 85286124 is 42168258.

85286124 is a `hidden beast` number, since 8 + 528 + 6 + 124 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29094 + ... + 31890.

Almost surely, 2^85286124 is an apocalyptic number.

85286124 is a gapful number since it is divisible by the number (84) 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 85286124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135456776).

85286124 is an abundant number, since it is smaller than the sum of its proper divisors (185627428).

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

85286124 is a wasteful number, since it uses less digits than its factorization.

85286124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2820 counting only the distinct ones).

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

The square root of 85286124 is about 9235.0486733964. The cubic root of 85286124 is about 440.1757631134.

The spelling of 85286124 in words is "eighty-five million, two hundred eighty-six thousand, one hundred twenty-four".