6416 has 10 divisors (see below), whose sum is σ = 12462. Its totient is φ = 3200.

The previous prime is 6397. The next prime is 6421. The reversal of 6416 is 6146.

It can be divided in two parts, 64 and 16, that multiplied together give a 10-th power (1024 = 2^{10}).

It can be written as a sum of positive squares in only one way, i.e., 6400 + 16 = 80^2 + 4^2 .

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 6394 and 6403.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 6416.

It is an unprimeable number.

6416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 185 + ... + 216.

2^{6416} is an apocalyptic number.

It is an amenable number.

6416 is a deficient number, since it is larger than the sum of its proper divisors (6046).

6416 is a wasteful number, since it uses less digits than its factorization.

6416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 6416 is about 80.0999375780. The cubic root of 6416 is about 18.5818144218.

The spelling of 6416 in words is "six thousand, four hundred sixteen".

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