85976448 has 64 divisors (see below), whose sum is σ = 229822320. Its totient is φ = 28477440.

The previous prime is 85976437. The next prime is 85976453. The reversal of 85976448 is 84467958.

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

It is a super-2 number, since 2×85976448² = 14783899221393408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85976448.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68886 + ... + 70122.

Almost surely, 2^85976448 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 85976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114911160).

85976448 is an abundant number, since it is smaller than the sum of its proper divisors (143845872).

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

85976448 is a wasteful number, since it uses less digits than its factorization.

85976448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1423 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 85976448 is about 9272.3485698069. The cubic root of 85976448 is about 441.3601985169.

The spelling of 85976448 in words is "eighty-five million, nine hundred seventy-six thousand, four hundred forty-eight".