6407104 has 56 divisors (see below), whose sum is σ = 14630400. Its totient is φ = 2753280.

The previous prime is 6407099. The next prime is 6407119. The reversal of 6407104 is 4017046.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13137 + ... + 13615.

Almost surely, 2^6407104 is an apocalyptic number.

6407104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315200).

6407104 is an abundant number, since it is smaller than the sum of its proper divisors (8223296).

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

6407104 is a wasteful number, since it uses less digits than its factorization.

6407104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 6407104 is about 2531.2257900077. The cubic root of 6407104 is about 185.7322234576.

It can be divided in two parts, 640 and 7104, that added together give a square (7744 = 88²).

The spelling of 6407104 in words is "six million, four hundred seven thousand, one hundred four".