8985816 has 120 divisors (see below), whose sum is σ = 29381220. Its totient is φ = 2558304.

The previous prime is 8985811. The next prime is 8985817. The reversal of 8985816 is 6185898.

8985816 = 404² + 405² + ... + 452².

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8985811) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31611 + ... + 31893.

Almost surely, 2^8985816 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 8985816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14690610).

8985816 is an abundant number, since it is smaller than the sum of its proper divisors (20395404).

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

8985816 is a wasteful number, since it uses less digits than its factorization.

8985816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 8985816 is about 2997.6350678493. The cubic root of 8985816 is about 207.8990511129.

It can be divided in two parts, 8985 and 816, that added together give a square (9801 = 99²).

The spelling of 8985816 in words is "eight million, nine hundred eighty-five thousand, eight hundred sixteen".