8364816 has 120 divisors (see below), whose sum is σ = 25886240. Its totient is φ = 2585088.

The previous prime is 8364793. The next prime is 8364821. The reversal of 8364816 is 6184638.

It is a happy number.

8364816 is a `hidden beast` number, since 8 + 3 + 648 + 1 + 6 = 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124815 + ... + 124881.

Almost surely, 2^8364816 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 8364816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943120).

8364816 is an abundant number, since it is smaller than the sum of its proper divisors (17521424).

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

8364816 is a wasteful number, since it uses less digits than its factorization.

8364816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

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

The square root of 8364816 is about 2892.1991632666. The cubic root of 8364816 is about 202.9950575936.

It can be divided in two parts, 8364 and 816, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8364816 in words is "eight million, three hundred sixty-four thousand, eight hundred sixteen".