85871744 has 64 divisors (see below), whose sum is σ = 196819200. Its totient is φ = 36556800.

The previous prime is 85871677. The next prime is 85871749. The reversal of 85871744 is 44717858.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 85871695 and 85871704.

It is not an unprimeable number, because it can be changed into a prime (85871749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213944 + ... + 214344.

It is an arithmetic number, because the mean of its divisors is an integer number (3075300).

Almost surely, 2^85871744 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 85871744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98409600).

85871744 is an abundant number, since it is smaller than the sum of its proper divisors (110947456).

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

85871744 is a wasteful number, since it uses less digits than its factorization.

85871744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 649 counting only the distinct ones).

The product of its digits is 250880, while the sum is 44.

The square root of 85871744 is about 9266.7008152848. The cubic root of 85871744 is about 441.1809597006.

The spelling of 85871744 in words is "eighty-five million, eight hundred seventy-one thousand, seven hundred forty-four".