85106844 has 18 divisors (see below), whose sum is σ = 215131280. Its totient is φ = 28368936.

The previous prime is 85106843. The next prime is 85106849. The reversal of 85106844 is 44860158.

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2364079 = 85106844 / (8 + 5 + 1 + 0 + 6 + 8 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 85106799 and 85106808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85106843) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1182004 + ... + 1182075.

Almost surely, 2^85106844 is an apocalyptic number.

It is an amenable number.

85106844 is an abundant number, since it is smaller than the sum of its proper divisors (130024436).

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

85106844 is a wasteful number, since it uses less digits than its factorization.

85106844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364089 (or 2364084 counting only the distinct ones).

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

The square root of 85106844 is about 9225.3370670128. The cubic root of 85106844 is about 439.8671155190.

It can be divided in two parts, 85 and 106844, that added together give a square (106929 = 327²).

The spelling of 85106844 in words is "eighty-five million, one hundred six thousand, eight hundred forty-four".