85784644 has 27 divisors (see below), whose sum is σ = 165404253. Its totient is φ = 38900400.

The previous prime is 85784623. The next prime is 85784651. The reversal of 85784644 is 44648758.

The square root of 85784644 is 9262.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 407044 + 85377600 = 638^2 + 9240^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85784594 and 85784603.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 203554 + ... + 203974.

Almost surely, 2^85784644 is an apocalyptic number.

85784644 is the 9262-nd square number.

It is an amenable number.

85784644 is a deficient number, since it is larger than the sum of its proper divisors (79619609).

85784644 is a wasteful number, since it uses less digits than its factorization.

85784644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 434 counting only the distinct ones).

The product of its digits is 860160, while the sum is 46.

The cubic root of 85784644 is about 441.0317454605.

The spelling of 85784644 in words is "eighty-five million, seven hundred eighty-four thousand, six hundred forty-four".