85416672 has 96 divisors (see below), whose sum is σ = 249951744. Its totient is φ = 25318400.

The previous prime is 85416649. The next prime is 85416673. The reversal of 85416672 is 27661458.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (80640) is a multiple of the sum of its prime factors (1792).

It is a self number, because there is not a number n which added to its sum of digits gives 85416672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85416673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48772 + ... + 50492.

It is an arithmetic number, because the mean of its divisors is an integer number (2603664).

Almost surely, 2^85416672 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 85416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124975872).

85416672 is an abundant number, since it is smaller than the sum of its proper divisors (164535072).

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

85416672 is a wasteful number, since it uses less digits than its factorization.

85416672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1784 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 85416672 is about 9242.1140438755. The cubic root of 85416672 is about 440.4002418739.

The spelling of 85416672 in words is "eighty-five million, four hundred sixteen thousand, six hundred seventy-two".