8416 has 12 divisors (see below), whose sum is σ = 16632. Its totient is φ = 4192.

The previous prime is 8389. The next prime is 8419. The reversal of 8416 is 6148.

8416 = T₅ + T₆ + ... + T₃₆.

It is a junction number, because it is equal to n+sod(n) for n = 8393 and 8402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (1386).

2⁸⁴¹⁶ is an apocalyptic number.

It is an amenable number.

8416 is a deficient number, since it is larger than the sum of its proper divisors (8216).

8416 is a wasteful number, since it uses less digits than its factorization.

8416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 8416 is about 91.7387595294. The cubic root of 8416 is about 20.3408255707.

It can be divided in two parts, 84 and 16, that added together give a square (100 = 10²).

The spelling of 8416 in words is "eight thousand, four hundred sixteen".