85979844 has 18 divisors (see below), whose sum is σ = 217338030. Its totient is φ = 28659936.

The previous prime is 85979843. The next prime is 85979849. The reversal of 85979844 is 44897958.

85979844 is a `hidden beast` number, since 8 + 597 + 9 + 8 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75168900 + 10810944 = 8670^2 + 3288^2 .

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

It is not an unprimeable number, because it can be changed into a prime (85979843) 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, 1194129 + ... + 1194200.

It is an arithmetic number, because the mean of its divisors is an integer number (12074335).

Almost surely, 2^85979844 is an apocalyptic number.

It is an amenable number.

85979844 is an abundant number, since it is smaller than the sum of its proper divisors (131358186).

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

85979844 is a wasteful number, since it uses less digits than its factorization.

85979844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388339 (or 2388334 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 85979844 is about 9272.5316931246. The cubic root of 85979844 is about 441.3660095638.

The spelling of 85979844 in words is "eighty-five million, nine hundred seventy-nine thousand, eight hundred forty-four".