8206416 has 30 divisors (see below), whose sum is σ = 22966970. Its totient is φ = 2735424.

The previous prime is 8206411. The next prime is 8206439. The reversal of 8206416 is 6146028.

It can be written as a sum of positive squares in only one way, i.e., 7952400 + 254016 = 2820^2 + 504^2 .

It is a super-3 number, since 3×8206416³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8206416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8206411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28351 + ... + 28638.

Almost surely, 2^8206416 is an apocalyptic number.

It is an amenable number.

8206416 is an abundant number, since it is smaller than the sum of its proper divisors (14760554).

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

8206416 is a wasteful number, since it uses less digits than its factorization.

8206416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57003 (or 56994 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8206416 is about 2864.6842757972. The cubic root of 8206416 is about 201.7055475277.

The spelling of 8206416 in words is "eight million, two hundred six thousand, four hundred sixteen".