85748416 has 56 divisors (see below), whose sum is σ = 191255904. Its totient is φ = 37847040.

The previous prime is 85748381. The next prime is 85748431. The reversal of 85748416 is 61484758.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16896 + ... + 21376.

It is an arithmetic number, because the mean of its divisors is an integer number (3415284).

Almost surely, 2^85748416 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 85748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95627952).

85748416 is an abundant number, since it is smaller than the sum of its proper divisors (105507488).

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

85748416 is a wasteful number, since it uses less digits than its factorization.

85748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4519 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The square root of 85748416 is about 9260.0440603703. The cubic root of 85748416 is about 440.9696521881.

The spelling of 85748416 in words is "eighty-five million, seven hundred forty-eight thousand, four hundred sixteen".