284636916 has 120 divisors (see below), whose sum is σ = 813770496. Its totient is φ = 86365440.

The previous prime is 284636903. The next prime is 284636917. The reversal of 284636916 is 619636482.

284636916 is a `hidden beast` number, since 2 + 8 + 4 + 636 + 9 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284636917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169915 + ... + 171581.

Almost surely, 2^284636916 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 284636916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406885248).

284636916 is an abundant number, since it is smaller than the sum of its proper divisors (529133580).

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

284636916 is a wasteful number, since it uses less digits than its factorization.

284636916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1720 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 284636916 is about 16871.1859689827. The cubic root of 284636916 is about 657.8048558580.

The spelling of 284636916 in words is "two hundred eighty-four million, six hundred thirty-six thousand, nine hundred sixteen".