85062784 has 32 divisors (see below), whose sum is σ = 170989740. Its totient is φ = 42147840.

The previous prime is 85062779. The next prime is 85062793. The reversal of 85062784 is 48726058.

It can be written as a sum of positive squares in 2 ways, for example, as 83320384 + 1742400 = 9128^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11524 + ... + 17404.

Almost surely, 2^85062784 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 85062784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494870).

85062784 is an abundant number, since it is smaller than the sum of its proper divisors (85926956).

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

85062784 is a wasteful number, since it uses less digits than its factorization.

85062784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6008 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 85062784 is about 9222.9487692386. The cubic root of 85062784 is about 439.7911956923.

The spelling of 85062784 in words is "eighty-five million, sixty-two thousand, seven hundred eighty-four".