8634816 has 112 divisors (see below), whose sum is σ = 26822400. Its totient is φ = 2716416.

The previous prime is 8634811. The next prime is 8634823. The reversal of 8634816 is 6184368.

It is a happy number.

8634816 is a `hidden beast` number, since 8 + 634 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8634811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32701 + ... + 32963.

Almost surely, 2^8634816 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 8634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411200).

8634816 is an abundant number, since it is smaller than the sum of its proper divisors (18187584).

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

8634816 is a wasteful number, since it uses less digits than its factorization.

8634816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8634816 is about 2938.5057427203. The cubic root of 8634816 is about 205.1560659679.

The spelling of 8634816 in words is "eight million, six hundred thirty-four thousand, eight hundred sixteen".