85344448 has 56 divisors (see below), whose sum is σ = 200253600. Its totient is φ = 35309568.

The previous prime is 85344439. The next prime is 85344449. The reversal of 85344448 is 84444358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 85344448.

It is not an unprimeable number, because it can be changed into a prime (85344449) 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, 9708 + ... + 16276.

Almost surely, 2^85344448 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 85344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100126800).

85344448 is an abundant number, since it is smaller than the sum of its proper divisors (114909152).

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

85344448 is a wasteful number, since it uses less digits than its factorization.

85344448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6607 counting only the distinct ones).

The product of its digits is 245760, while the sum is 40.

The square root of 85344448 is about 9238.2058864262. The cubic root of 85344448 is about 440.2760801794.

The spelling of 85344448 in words is "eighty-five million, three hundred forty-four thousand, four hundred forty-eight".