8188416 has 60 divisors (see below), whose sum is σ = 23645622. Its totient is φ = 2727936.

The previous prime is 8188409. The next prime is 8188421. The reversal of 8188416 is 6148818.

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 1218816 = 2640^2 + 1104^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3720 + ... + 5496.

Almost surely, 2^8188416 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 8188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822811).

8188416 is an abundant number, since it is smaller than the sum of its proper divisors (15457206).

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

8188416 is a wasteful number, since it uses less digits than its factorization.

8188416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1782 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 8188416 is about 2861.5408436715. The cubic root of 8188416 is about 201.5579655371.

The spelling of 8188416 in words is "eight million, one hundred eighty-eight thousand, four hundred sixteen".