6468084 has 36 divisors (see below), whose sum is σ = 18686304. Its totient is φ = 1847952.

The previous prime is 6468079. The next prime is 6468089. The reversal of 6468084 is 4808646.

6468084 is a `hidden beast` number, since 646 + 8 + 0 + 8 + 4 = 666.

6468084 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6468079) and next prime (6468089).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×6468084³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468089) 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, 12582 + ... + 13085.

It is an arithmetic number, because the mean of its divisors is an integer number (519064).

Almost surely, 2^6468084 is an apocalyptic number.

It is an amenable number.

6468084 is an abundant number, since it is smaller than the sum of its proper divisors (12218220).

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

6468084 is a wasteful number, since it uses less digits than its factorization.

6468084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25684 (or 25679 counting only the distinct ones).

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

The square root of 6468084 is about 2543.2428118448. The cubic root of 6468084 is about 186.3196031313.

The spelling of 6468084 in words is "six million, four hundred sixty-eight thousand, eighty-four".