6468735 has 48 divisors (see below), whose sum is σ = 12985056. Its totient is φ = 2725632.

The previous prime is 6468697. The next prime is 6468767. The reversal of 6468735 is 5378646.

It is not a de Polignac number, because 6468735 - 2⁹ = 6468223 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

6468735 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 6468693 and 6468702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9217 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (270522).

Almost surely, 2^6468735 is an apocalyptic number.

6468735 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6468735 is an abundant number, since it is smaller than the sum of its proper divisors (6516321).

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

6468735 is a wasteful number, since it uses less digits than its factorization.

6468735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 705 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 6468735 is about 2543.3707948311. The cubic root of 6468735 is about 186.3258538228.

The spelling of 6468735 in words is "six million, four hundred sixty-eight thousand, seven hundred thirty-five".