6427904 has 72 divisors (see below), whose sum is σ = 15599808. Its totient is φ = 2580480.

The previous prime is 6427891. The next prime is 6427907. The reversal of 6427904 is 4097246.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6427907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30359 + ... + 30569.

It is an arithmetic number, because the mean of its divisors is an integer number (216664).

Almost surely, 2^6427904 is an apocalyptic number.

6427904 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 6427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799904).

6427904 is an abundant number, since it is smaller than the sum of its proper divisors (9171904).

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

6427904 is a wasteful number, since it uses less digits than its factorization.

6427904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 6427904 is about 2535.3311420799. The cubic root of 6427904 is about 185.9329931681.

The spelling of 6427904 in words is "six million, four hundred twenty-seven thousand, nine hundred four".