6402816 has 108 divisors (see below), whose sum is σ = 21151312. Its totient is φ = 1824768.

The previous prime is 6402787. The next prime is 6402817. The reversal of 6402816 is 6182046.

6402816 is a `hidden beast` number, since 640 + 2 + 8 + 16 = 666.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6402816.

It is not an unprimeable number, because it can be changed into a prime (6402817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15930 + ... + 16326.

Almost surely, 2^6402816 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 6402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575656).

6402816 is an abundant number, since it is smaller than the sum of its proper divisors (14748496).

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

6402816 is a wasteful number, since it uses less digits than its factorization.

6402816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

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

The square root of 6402816 is about 2530.3786277947. The cubic root of 6402816 is about 185.6907800061.

The spelling of 6402816 in words is "six million, four hundred two thousand, eight hundred sixteen".