85127824 has 20 divisors (see below), whose sum is σ = 169394044. Its totient is φ = 41413248.

The previous prime is 85127821. The next prime is 85127851. The reversal of 85127824 is 42872158.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 50694400 = 5868^2 + 7120^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (85127821) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 71307 + ... + 72490.

Almost surely, 2^85127824 is an apocalyptic number.

It is an amenable number.

85127824 is a deficient number, since it is larger than the sum of its proper divisors (84266220).

85127824 is a wasteful number, since it uses less digits than its factorization.

85127824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143842 (or 143836 counting only the distinct ones).

The product of its digits is 35840, while the sum is 37.

The square root of 85127824 is about 9226.4740827686. The cubic root of 85127824 is about 439.9032569675.

The spelling of 85127824 in words is "eighty-five million, one hundred twenty-seven thousand, eight hundred twenty-four".