7386816 has 56 divisors (see below), whose sum is σ = 19832320. Its totient is φ = 2426112.

The previous prime is 7386811. The next prime is 7386833. The reversal of 7386816 is 6186837.

It is not an unprimeable number, because it can be changed into a prime (7386811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14925 + ... + 15411.

Almost surely, 2^7386816 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 7386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916160).

7386816 is an abundant number, since it is smaller than the sum of its proper divisors (12445504).

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

7386816 is a wasteful number, since it uses less digits than its factorization.

7386816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 7386816 is about 2717.8697540537. The cubic root of 7386816 is about 194.7537193272.

The spelling of 7386816 in words is "seven million, three hundred eighty-six thousand, eight hundred sixteen".