85546944 has 168 divisors, whose sum is σ = 286613600. Its totient is φ = 24385536.

The previous prime is 85546931. The next prime is 85546961. The reversal of 85546944 is 44964558.

85546944 is a `hidden beast` number, since 8 + 554 + 6 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 85546944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197352 + ... + 197784.

Almost surely, 2^85546944 is an apocalyptic number.

85546944 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 85546944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143306800).

85546944 is an abundant number, since it is smaller than the sum of its proper divisors (201066656).

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

85546944 is a wasteful number, since it uses less digits than its factorization.

85546944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 445 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 85546944 is about 9249.1590969125. The cubic root of 85546944 is about 440.6240181659.

The spelling of 85546944 in words is "eighty-five million, five hundred forty-six thousand, nine hundred forty-four".