6406848 has 126 divisors (see below), whose sum is σ = 21456396. Its totient is φ = 1822464.

The previous prime is 6406847. The next prime is 6406849. The reversal of 6406848 is 8486046.

6406848 is a `hidden beast` number, since 640 + 6 + 8 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6406847) and next prime (6406849).

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (6406847) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28111 + ... + 28337.

Almost surely, 2^6406848 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 6406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728198).

6406848 is an abundant number, since it is smaller than the sum of its proper divisors (15049548).

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

6406848 is a wasteful number, since it uses less digits than its factorization.

6406848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6406848 is about 2531.1752211177. The cubic root of 6406848 is about 185.7297497408.

The spelling of 6406848 in words is "six million, four hundred six thousand, eight hundred forty-eight".