85827744 has 36 divisors (see below), whose sum is σ = 244073466. Its totient is φ = 28609152.

The previous prime is 85827701. The next prime is 85827751. The reversal of 85827744 is 44772858.

It can be written as a sum of positive squares in only one way, i.e., 61027344 + 24800400 = 7812^2 + 4980^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85827744.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148719 + ... + 149294.

Almost surely, 2^85827744 is an apocalyptic number.

It is an amenable number.

85827744 is an abundant number, since it is smaller than the sum of its proper divisors (158245722).

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

85827744 is a wasteful number, since it uses less digits than its factorization.

85827744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298029 (or 298018 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 85827744 is about 9264.3264191197. The cubic root of 85827744 is about 441.1055942863.

The spelling of 85827744 in words is "eighty-five million, eight hundred twenty-seven thousand, seven hundred forty-four".