7368816 has 120 divisors (see below), whose sum is σ = 23946384. Its totient is φ = 1935360.

The previous prime is 7368811. The next prime is 7368817. The reversal of 7368816 is 6188637.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

7368816 is an undulating number in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7368811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30456 + ... + 30696.

Almost surely, 2^7368816 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 7368816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973192).

7368816 is an abundant number, since it is smaller than the sum of its proper divisors (16577568).

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

7368816 is a wasteful number, since it uses less digits than its factorization.

7368816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

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

The square root of 7368816 is about 2714.5563173381. The cubic root of 7368816 is about 194.5954004054.

The spelling of 7368816 in words is "seven million, three hundred sixty-eight thousand, eight hundred sixteen".