8380416 has 112 divisors (see below), whose sum is σ = 25164288. Its totient is φ = 2457600.

The previous prime is 8380403. The next prime is 8380417. The reversal of 8380416 is 6140838.

It is a happy number.

It is a nialpdrome in base 2.

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 (8380417) 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, 270321 + ... + 270351.

Almost surely, 2^8380416 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 8380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582144).

8380416 is an abundant number, since it is smaller than the sum of its proper divisors (16783872).

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

8380416 is a wasteful number, since it uses less digits than its factorization.

8380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8380416 is about 2894.8948167421. The cubic root of 8380416 is about 203.1211713992.

The spelling of 8380416 in words is "eight million, three hundred eighty thousand, four hundred sixteen".