85765824 has 56 divisors (see below), whose sum is σ = 252140720. Its totient is φ = 28588032.

The previous prime is 85765811. The next prime is 85765837. The reversal of 85765824 is 42856758.

85765824 is a `hidden beast` number, since 8 + 576 + 58 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (85765811) and next prime (85765837).

It is a self number, because there is not a number n which added to its sum of digits gives 85765824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23089 + ... + 26544.

Almost surely, 2^85765824 is an apocalyptic number.

It is an amenable number.

85765824 is an abundant number, since it is smaller than the sum of its proper divisors (166374896).

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

85765824 is a wasteful number, since it uses less digits than its factorization.

85765824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49654 (or 49638 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 85765824 is about 9260.9839650007. The cubic root of 85765824 is about 440.9994909523. Note that the first 3 decimals are identical.

It can be divided in two parts, 8576 and 5824, that added together give a square (14400 = 120²).

The spelling of 85765824 in words is "eighty-five million, seven hundred sixty-five thousand, eight hundred twenty-four".