85781568 has 56 divisors (see below), whose sum is σ = 228071680. Its totient is φ = 28454400.

The previous prime is 85781543. The next prime is 85781573. The reversal of 85781568 is 86518758.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 42993 + ... + 44943.

Almost surely, 2^85781568 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 85781568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114035840).

85781568 is an abundant number, since it is smaller than the sum of its proper divisors (142290112).

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

85781568 is a wasteful number, since it uses less digits than its factorization.

85781568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2185 counting only the distinct ones).

The product of its digits is 537600, while the sum is 48.

The square root of 85781568 is about 9261.8339436636. The cubic root of 85781568 is about 441.0264740047.

The spelling of 85781568 in words is "eighty-five million, seven hundred eighty-one thousand, five hundred sixty-eight".