85352448 has 112 divisors (see below), whose sum is σ = 239060736. Its totient is φ = 27033600.

The previous prime is 85352431. The next prime is 85352467. The reversal of 85352448 is 84425358.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565173 + ... + 565323.

Almost surely, 2^85352448 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 85352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119530368).

85352448 is an abundant number, since it is smaller than the sum of its proper divisors (153708288).

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

85352448 is a wasteful number, since it uses less digits than its factorization.

85352448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 85352448 is about 9238.6388607846. The cubic root of 85352448 is about 440.2898365853.

It can be divided in two parts, 853 and 52448, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 85352448 in words is "eighty-five million, three hundred fifty-two thousand, four hundred forty-eight".